Sorting scales in Scala

I'm just curious about this. Is there anyway to
sort the X number of notes per octave scales, in
Scala? I'd like to see the 15 note per octave
scales grouped together somehow. This is *not*
important. Just curious.

Stephen Szpak

S,

{you wrote...}
>I'm just curious about this. Is there anyway to sort the X number of notes >per octave scales, in Scala? I'd like to see the 15 note per octave scales >grouped together somehow.

I don't know if Scala has that facility, but it was easy enough to take the scalesdir.txt file, which is a compilation of all the scales, the number of notes, and the descriptions, and sort out just for 15-note scales (the file is on the Scala site, and I believe it is also in your Scala directory from the installation, and you could do this yourself in the future for other scales). What I got (there will probably be some line-wrapping of the descriptions):

Filename Scale size Description
15-27-gram.scl 15 15 out of 27-ET, Gram tuning
15-27.scl 15 15 out of 27-tET
15-37.scl 15 Miller's Porcupine-15
b15_21.scl 15 15-tET approximation with minimal order 21 beats
blackbeat15.scl 15 Blackwood[15] with brats of -1
cet126.scl 15 15th root of 3. McLaren 'Microtonal Music', volume 1, track 6
cet160.scl 15 15th root of 4, Rudolf Escher in "The Long Christmas Dinner" (1960)
cet39e.scl 15 15th root of 7/5, X.J. Scott
chalmers_csurd.scl 15 Combined Surd Scale, combination of Surd and Inverted Surd, JHC, 26-6-97
cifariello.scl 15 F. Cifariello Ciardi, ICMC 86 Proc. 15-tone 5-limit tuning
cont_frac2.scl 15 Continued fraction scale 2, see McLaren in Xenharmonikon 15, pp.33-38
corner11.scl 15 Quadratic Corner 11-limit. Chalmers '96
deporcy.scl 15 A 15-note chord-based detempering of 7-limit porcupine
diaconv225.scl 15 convex closure of 7-limit diamond with respect to 225/224
dorian_pis.scl 15 Diatonic Perfect Immutable System in the Dorian Tonos, a non-rep. 16 tone gamu
enneadecal.scl 152 Enneadecal temperament, g=7.292252, p=1/19 oct, 5-limit
fj-15tet.scl 15 Franck Jedrzejewski continued fractions approx. of 15-tet
gradus8.scl 15 Intervals > 1 with Gradus = 8
h15_24.scl 15 15-tET harmonic approximation, fundamental=24
harm15.scl 15 Fifth octave of the harmonic overtone series
hypodorian_pis.scl 15 Diatonic Perfect Immutable System in the Hypodorian Tonos
hypolydian_pis.scl 15 The Diatonic Perfect Immutable System in the Hypolydian Tonos
hypophryg_pis.scl 15 The Diatonic Perfect Immutable System in the Hypophrygian Tonos
lydian_pis.scl 15 The Diatonic Perfect Immutable System in the Lydian Tonos
mclaren_cps.scl 15 2)12 [1,2,3,4,5,6,8,9,10,12,14,15] a degenerate CPS
mean14_15.scl 15 15 of 3/14-comma meantone scale
mean2sev_15.scl 15 15 of 2/7-comma meantone scale
mean9_15.scl 15 15 of 2/9-comma meantone scale
meanquar_15.scl 15 1/4-comma meantone scale with split C#/Db, D#/Eb and G#/Ab
mixol_pis.scl 15 The Diatonic Perfect Immutable System in the Mixolydian Tonos
mos15-22.scl 15 MOS 15 in 22, contains 7 and 8 tone MOS as well. G= 3 or 19
panpipe2.scl 15 Lalave panpipe of Solomon Islands. 1/1=f'+47c.
panpipe3.scl 15 Tenaho panpipe of Solomon Islands. 1/1=f'+67c.
pentadekany.scl 15 2)6 1.3.5.7.11.13 Pentadekany (1.3 tonic)
pentadekany2.scl 15 2)6 1.3.5.7.9.11 Pentadekany (1.3 tonic)
pentadekany3.scl 15 2)6 1.5.11.17.23.31 Pentadekany (1.5 tonic)
phryg_pis.scl 15 The Diatonic Perfect Immutable System in the Phrygian Tonos
pipedum_15.scl 15 126/125, 128/125 and 875/864, 5-limit, Paul Erlich, 2001
pipedum_15a.scl 15 Septimal version of pipedum_15, Manuel Op de Coul, 2001
pipedum_15b.scl 15 126/125, 128/125 and 1029/1024, Paul Erlich, 2001
pipedum_15c.scl 15 49/48, 126/125 and 1029/1024, Paul Erlich, 2001
pipedum_15d.scl 15 64/63, 126/125 and 1029/1024, Paul Erlich, 2001
pipedum_15e.scl 15 64/63, 875/864 and 1029/1024, Paul Erlich, 2001
pipedum_15f.scl 15 126/125, 64/63 comma and 28/27 chroma
pipedum_15g.scl 15 128/125 and 250/243
smithgw_ennon15.scl 15 Nonoctave Ennealimmal, [3, 5/3] just tuning
smithgw_fifaug.scl 15 Three circles of four (56/11)^(1/4) fifths with 11/7 as wolf
smithgw_hahn15.scl 15 Hahn-reduced 15 note scale
smithgw_klv.scl 15 Variant of kleismic with 9/7 thirds, g=316.492
smithgw_pk.scl 15 Parakleismic temperament, g=315.263, 5-limit
smithgw_porc15.scl 15 Porcupine[15] in 7-limit minimax tuning
smithgw_tr31.scl 15 6/31 generator supermajor seconds tripentatonic scale
super_15.scl 15 A superparticular 15-tone scale
temp15coh.scl 15 Differential coherent 15-tone scale, OdC, 2003
temp15ebmt.scl 15 Cycle of 15 equal beating minor thirds
temp15ebsi.scl 15 Cycle of 15 equal beating major sixths
thailand4.scl 15 Khong mon (bronze percussion vessels) tuning, Gemeentemuseum Den Haag 1/1=465
tonos15_pis.scl 15 Diatonic Perfect Immutable System in the new Tonos-15
tonos17_pis.scl 15 Diatonic Perfect Immutable System in the new Tonos-17
tonos19_pis.scl 15 Diatonic Perfect Immutable System in the new Tonos-19
tonos21_pis.scl 15 Diatonic Perfect Immutable System in the new Tonos-21
tonos23_pis.scl 15 Diatonic Perfect Immutable System in the new Tonos-23
tonos25_pis.scl 15 Diatonic Perfect Immutable System in the new Tonos-25
tonos27_pis.scl 15 Diatonic Perfect Immutable System in the new Tonos-27
tonos29_pis.scl 15 Diatonic Perfect Immutable System in the new Tonos-29
tonos31_pis.scl 15 Diatonic Perfect Immutable System in the new Tonos-31
tonos31_pis2.scl 15 Diatonic Perfect Immutable System in the new Tonos-31B
tonos33_pis.scl 15 Diatonic Perfect Immutable System in the new Tonos-33
triang11.scl 15 11-limit triangular diamond lattice with 64/63 intervals removed
valentine2.scl 15 Robert Valentine, two octave 31-tET subset for guitar, TL 10-5-2002

Cheers,
Jon

--- In MakeMicroMusic@yahoogroups.com, Jon Szanto <jszanto@c...>
wrote:

Thanks Jon. Doesn't enneadecal.scl (and maybe others)
contain more or less than 15 notes per octave?

Stephen

_______________________________________________________________

> S,
>
> {you wrote...}
> >I'm just curious about this. Is there anyway to sort the X number
of notes
> >per octave scales, in Scala? I'd like to see the 15 note per
octave scales
> >grouped together somehow.
>
> I don't know if Scala has that facility, but it was easy enough to
take the
> scalesdir.txt file, which is a compilation of all the scales, the
number of
> notes, and the descriptions, and sort out just for 15-note scales
(the file
> is on the Scala site, and I believe it is also in your Scala
directory from
> the installation, and you could do this yourself in the future for
other
> scales). What I got (there will probably be some line-wrapping of
the
> descriptions):
>
> Filename Scale size Description
> 15-27-gram.scl 15 15 out of 27-ET, Gram tuning
> 15-27.scl 15 15 out of 27-tET
> 15-37.scl 15 Miller's Porcupine-15
> b15_21.scl 15 15-tET approximation with
minimal order
> 21 beats
> blackbeat15.scl 15 Blackwood[15] with brats of -1
> cet126.scl 15 15th root of 3.
McLaren 'Microtonal
> Music', volume 1, track 6
> cet160.scl 15 15th root of 4, Rudolf Escher
in "The
> Long Christmas Dinner" (1960)
> cet39e.scl 15 15th root of 7/5, X.J. Scott
> chalmers_csurd.scl 15 Combined Surd Scale, combination
of Surd
> and Inverted Surd, JHC, 26-6-97
> cifariello.scl 15 F. Cifariello Ciardi, ICMC 86
Proc.
> 15-tone 5-limit tuning
> cont_frac2.scl 15 Continued fraction scale 2, see
McLaren
> in Xenharmonikon 15, pp.33-38
> corner11.scl 15 Quadratic Corner 11-limit.
Chalmers '96
> deporcy.scl 15 A 15-note chord-based
detempering of
> 7-limit porcupine
> diaconv225.scl 15 convex closure of 7-limit
diamond with
> respect to 225/224
> dorian_pis.scl 15 Diatonic Perfect Immutable
System in the
> Dorian Tonos, a non-rep. 16 tone gamu
> enneadecal.scl 152 Enneadecal temperament,
g=7.292252,
> p=1/19 oct, 5-limit
> fj-15tet.scl 15 Franck Jedrzejewski continued
fractions
> approx. of 15-tet
> gradus8.scl 15 Intervals > 1 with Gradus = 8
> h15_24.scl 15 15-tET harmonic approximation,
fundamental=24
> harm15.scl 15 Fifth octave of the harmonic
overtone series
> hypodorian_pis.scl 15 Diatonic Perfect Immutable
System in the
> Hypodorian Tonos
> hypolydian_pis.scl 15 The Diatonic Perfect Immutable
System in
> the Hypolydian Tonos
> hypophryg_pis.scl 15 The Diatonic Perfect Immutable
System in
> the Hypophrygian Tonos
> lydian_pis.scl 15 The Diatonic Perfect Immutable
System in
> the Lydian Tonos
> mclaren_cps.scl 15 2)12
[1,2,3,4,5,6,8,9,10,12,14,15] a
> degenerate CPS
> mean14_15.scl 15 15 of 3/14-comma meantone scale
> mean2sev_15.scl 15 15 of 2/7-comma meantone scale
> mean9_15.scl 15 15 of 2/9-comma meantone scale
> meanquar_15.scl 15 1/4-comma meantone scale with
split
> C#/Db, D#/Eb and G#/Ab
> mixol_pis.scl 15 The Diatonic Perfect Immutable
System in
> the Mixolydian Tonos
> mos15-22.scl 15 MOS 15 in 22, contains 7 and 8
tone MOS
> as well. G= 3 or 19
> panpipe2.scl 15 Lalave panpipe of Solomon
Islands.
> 1/1=f'+47c.
> panpipe3.scl 15 Tenaho panpipe of Solomon
Islands.
> 1/1=f'+67c.
> pentadekany.scl 15 2)6 1.3.5.7.11.13 Pentadekany
(1.3 tonic)
> pentadekany2.scl 15 2)6 1.3.5.7.9.11 Pentadekany
(1.3 tonic)
> pentadekany3.scl 15 2)6 1.5.11.17.23.31 Pentadekany
(1.5 tonic)
> phryg_pis.scl 15 The Diatonic Perfect Immutable
System in
> the Phrygian Tonos
> pipedum_15.scl 15 126/125, 128/125 and 875/864, 5-
limit,
> Paul Erlich, 2001
> pipedum_15a.scl 15 Septimal version of pipedum_15,
Manuel Op
> de Coul, 2001
> pipedum_15b.scl 15 126/125, 128/125 and 1029/1024,
Paul
> Erlich, 2001
> pipedum_15c.scl 15 49/48, 126/125 and 1029/1024,
Paul
> Erlich, 2001
> pipedum_15d.scl 15 64/63, 126/125 and 1029/1024,
Paul
> Erlich, 2001
> pipedum_15e.scl 15 64/63, 875/864 and 1029/1024,
Paul
> Erlich, 2001
> pipedum_15f.scl 15 126/125, 64/63 comma and 28/27
chroma
> pipedum_15g.scl 15 128/125 and 250/243
> smithgw_ennon15.scl 15 Nonoctave Ennealimmal, [3, 5/3]
just tuning
> smithgw_fifaug.scl 15 Three circles of four (56/11)^
(1/4)
> fifths with 11/7 as wolf
> smithgw_hahn15.scl 15 Hahn-reduced 15 note scale
> smithgw_klv.scl 15 Variant of kleismic with 9/7
thirds,
> g=316.492
> smithgw_pk.scl 15 Parakleismic temperament,
g=315.263, 5-limit
> smithgw_porc15.scl 15 Porcupine[15] in 7-limit minimax
tuning
> smithgw_tr31.scl 15 6/31 generator supermajor
seconds
> tripentatonic scale
> super_15.scl 15 A superparticular 15-tone scale
> temp15coh.scl 15 Differential coherent 15-tone
scale, OdC,
> 2003
> temp15ebmt.scl 15 Cycle of 15 equal beating minor
thirds
> temp15ebsi.scl 15 Cycle of 15 equal beating major
sixths
> thailand4.scl 15 Khong mon (bronze percussion
vessels)
> tuning, Gemeentemuseum Den Haag 1/1=465
> tonos15_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-15
> tonos17_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-17
> tonos19_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-19
> tonos21_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-21
> tonos23_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-23
> tonos25_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-25
> tonos27_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-27
> tonos29_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-29
> tonos31_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-31
> tonos31_pis2.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-31B
> tonos33_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-33
> triang11.scl 15 11-limit triangular diamond
lattice with
> 64/63 intervals removed
> valentine2.scl 15 Robert Valentine, two octave 31-
tET
> subset for guitar, TL 10-5-2002
>
> Cheers,
> Jon
>

S,

{you wrote...}
>Thanks Jon. Doesn't enneadecal.scl (and maybe others) contain more or less than 15 notes per octave?

Picky picky picky. If you take a look, it appears when i selected the column text, the last digit was stuck in there (152). Appears that is the only one, but you can figure out if there are scales with too many notes. It is certainly a starting point for you...

Cheers,
Jon

--- In MakeMicroMusic@yahoogroups.com, Jon Szanto <jszanto@c...>
wrote:

Jon. Thanks for the list. Stephen.

>
> S,
>
> {you wrote...}
> >I'm just curious about this. Is there anyway to sort the X number
of notes
> >per octave scales, in Scala? I'd like to see the 15 note per
octave scales
> >grouped together somehow.
>
> I don't know if Scala has that facility, but it was easy enough to
take the
> scalesdir.txt file, which is a compilation of all the scales, the
number of
> notes, and the descriptions, and sort out just for 15-note scales
(the file
> is on the Scala site, and I believe it is also in your Scala
directory from
> the installation, and you could do this yourself in the future for
other
> scales). What I got (there will probably be some line-wrapping of
the
> descriptions):
>
> Filename Scale size Description
> 15-27-gram.scl 15 15 out of 27-ET, Gram tuning
> 15-27.scl 15 15 out of 27-tET
> 15-37.scl 15 Miller's Porcupine-15
> b15_21.scl 15 15-tET approximation with
minimal order
> 21 beats
> blackbeat15.scl 15 Blackwood[15] with brats of -1
> cet126.scl 15 15th root of 3.
McLaren 'Microtonal
> Music', volume 1, track 6
> cet160.scl 15 15th root of 4, Rudolf Escher
in "The
> Long Christmas Dinner" (1960)
> cet39e.scl 15 15th root of 7/5, X.J. Scott
> chalmers_csurd.scl 15 Combined Surd Scale, combination
of Surd
> and Inverted Surd, JHC, 26-6-97
> cifariello.scl 15 F. Cifariello Ciardi, ICMC 86
Proc.
> 15-tone 5-limit tuning
> cont_frac2.scl 15 Continued fraction scale 2, see
McLaren
> in Xenharmonikon 15, pp.33-38
> corner11.scl 15 Quadratic Corner 11-limit.
Chalmers '96
> deporcy.scl 15 A 15-note chord-based
detempering of
> 7-limit porcupine
> diaconv225.scl 15 convex closure of 7-limit
diamond with
> respect to 225/224
> dorian_pis.scl 15 Diatonic Perfect Immutable
System in the
> Dorian Tonos, a non-rep. 16 tone gamu
> enneadecal.scl 152 Enneadecal temperament,
g=7.292252,
> p=1/19 oct, 5-limit
> fj-15tet.scl 15 Franck Jedrzejewski continued
fractions
> approx. of 15-tet
> gradus8.scl 15 Intervals > 1 with Gradus = 8
> h15_24.scl 15 15-tET harmonic approximation,
fundamental=24
> harm15.scl 15 Fifth octave of the harmonic
overtone series
> hypodorian_pis.scl 15 Diatonic Perfect Immutable
System in the
> Hypodorian Tonos
> hypolydian_pis.scl 15 The Diatonic Perfect Immutable
System in
> the Hypolydian Tonos
> hypophryg_pis.scl 15 The Diatonic Perfect Immutable
System in
> the Hypophrygian Tonos
> lydian_pis.scl 15 The Diatonic Perfect Immutable
System in
> the Lydian Tonos
> mclaren_cps.scl 15 2)12
[1,2,3,4,5,6,8,9,10,12,14,15] a
> degenerate CPS
> mean14_15.scl 15 15 of 3/14-comma meantone scale
> mean2sev_15.scl 15 15 of 2/7-comma meantone scale
> mean9_15.scl 15 15 of 2/9-comma meantone scale
> meanquar_15.scl 15 1/4-comma meantone scale with
split
> C#/Db, D#/Eb and G#/Ab
> mixol_pis.scl 15 The Diatonic Perfect Immutable
System in
> the Mixolydian Tonos
> mos15-22.scl 15 MOS 15 in 22, contains 7 and 8
tone MOS
> as well. G= 3 or 19
> panpipe2.scl 15 Lalave panpipe of Solomon
Islands.
> 1/1=f'+47c.
> panpipe3.scl 15 Tenaho panpipe of Solomon
Islands.
> 1/1=f'+67c.
> pentadekany.scl 15 2)6 1.3.5.7.11.13 Pentadekany
(1.3 tonic)
> pentadekany2.scl 15 2)6 1.3.5.7.9.11 Pentadekany
(1.3 tonic)
> pentadekany3.scl 15 2)6 1.5.11.17.23.31 Pentadekany
(1.5 tonic)
> phryg_pis.scl 15 The Diatonic Perfect Immutable
System in
> the Phrygian Tonos
> pipedum_15.scl 15 126/125, 128/125 and 875/864, 5-
limit,
> Paul Erlich, 2001
> pipedum_15a.scl 15 Septimal version of pipedum_15,
Manuel Op
> de Coul, 2001
> pipedum_15b.scl 15 126/125, 128/125 and 1029/1024,
Paul
> Erlich, 2001
> pipedum_15c.scl 15 49/48, 126/125 and 1029/1024,
Paul
> Erlich, 2001
> pipedum_15d.scl 15 64/63, 126/125 and 1029/1024,
Paul
> Erlich, 2001
> pipedum_15e.scl 15 64/63, 875/864 and 1029/1024,
Paul
> Erlich, 2001
> pipedum_15f.scl 15 126/125, 64/63 comma and 28/27
chroma
> pipedum_15g.scl 15 128/125 and 250/243
> smithgw_ennon15.scl 15 Nonoctave Ennealimmal, [3, 5/3]
just tuning
> smithgw_fifaug.scl 15 Three circles of four (56/11)^
(1/4)
> fifths with 11/7 as wolf
> smithgw_hahn15.scl 15 Hahn-reduced 15 note scale
> smithgw_klv.scl 15 Variant of kleismic with 9/7
thirds,
> g=316.492
> smithgw_pk.scl 15 Parakleismic temperament,
g=315.263, 5-limit
> smithgw_porc15.scl 15 Porcupine[15] in 7-limit minimax
tuning
> smithgw_tr31.scl 15 6/31 generator supermajor
seconds
> tripentatonic scale
> super_15.scl 15 A superparticular 15-tone scale
> temp15coh.scl 15 Differential coherent 15-tone
scale, OdC,
> 2003
> temp15ebmt.scl 15 Cycle of 15 equal beating minor
thirds
> temp15ebsi.scl 15 Cycle of 15 equal beating major
sixths
> thailand4.scl 15 Khong mon (bronze percussion
vessels)
> tuning, Gemeentemuseum Den Haag 1/1=465
> tonos15_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-15
> tonos17_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-17
> tonos19_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-19
> tonos21_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-21
> tonos23_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-23
> tonos25_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-25
> tonos27_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-27
> tonos29_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-29
> tonos31_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-31
> tonos31_pis2.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-31B
> tonos33_pis.scl 15 Diatonic Perfect Immutable
System in the
> new Tonos-33
> triang11.scl 15 11-limit triangular diamond
lattice with
> 64/63 intervals removed
> valentine2.scl 15 Robert Valentine, two octave 31-
tET
> subset for guitar, TL 10-5-2002
>
> Cheers,
> Jon
>

--- In MakeMicroMusic@yahoogroups.com, "stephenszpak"
<stephen_szpak@h...> wrote:

Jon

Paul Erlich and I were discussing 15 note scales recently.
Should I assume that *not* all 15 note scales are in Scala.
(Why is that?)

Stephen

_______________________________________________________________

S,

{you wrote...}
>Paul Erlich and I were discussing 15 note scales recently. Should I assume that *not* all 15 note scales are in Scala.

Yes, most definitely.

>(Why is that?)

Because there are an infinite number of 15 note scales one could come up with. The mathematicians around here will back me up, I'm sure.

Cheers,
Jon

--- In MakeMicroMusic@yahoogroups.com, Jon Szanto <jszanto@c...> wrote:
>

Jon

So what you're really saying is that no 15 note scale is
better or worse than any other?

Stephen

__________________________________________________________

> S,
>
> {you wrote...}
> >Paul Erlich and I were discussing 15 note scales recently. Should I
assume that *not* all 15 note scales are in Scala.
>
> Yes, most definitely.
>
> >(Why is that?)
>
> Because there are an infinite number of 15 note scales one could
come up with. The mathematicians around here will back me up, I'm sure.
>
> Cheers,
> Jon
>

S,

{you wrote...}
>So what you're really saying is that no 15 note scale is better or worse than any other?

No, I'm just answering your question. As to the above, that is completely subjective, as well as dependent on what one wants to do with the 15 note scale. Only when you define what you want to do with a scale/tuning is it possible to start narrowing the candidates. And, frankly, I'm not the guy to guide you in these matters! :)

Cheers,
Jon

--- In MakeMicroMusic@yahoogroups.com, "stephenszpak"
<stephen_szpak@h...> wrote:
>
>
> I'm just curious about this. Is there anyway to
> sort the X number of notes per octave scales, in
> Scala? I'd like to see the 15 note per octave
> scales grouped together somehow. This is *not*
> important. Just curious.

Yes, but I've forgotten what it is. Scala *really* needs a manual. If
I new how to concatenate files in Windows, I could at least put
together everything in the cmd directory and maybe find it that way.

--- In MakeMicroMusic@yahoogroups.com, "Gene Ward Smith"
<gwsmith@s...> wrote:
>> >++++++++++++++++++++++++++++Maybe 2 scale directories
in Scala would be a start. The original
alphabetical one it now has and another
scale directory with the scales grouped.
All the 15's together, all the 24's etc.

Stephen Szpak

_______________________________________________________________

> >
> > I'm just curious about this. Is there anyway to
> > sort the X number of notes per octave scales, in
> > Scala? I'd like to see the 15 note per octave
> > scales grouped together somehow. This is *not*
> > important. Just curious.
>
> Yes, but I've forgotten what it is. Scala *really* needs a manual. If
> I new how to concatenate files in Windows, I could at least put
> together everything in the cmd directory and maybe find it that way.
>

G,

{you wrote...}
>Scala *really* needs a manual.

It's got one, but it's spelled "Manuel". :)

(sorry, couldn't resist, and I couldn't agree more, either...)

Cheers,
Jon

--- In MakeMicroMusic@yahoogroups.com, Jon Szanto <jszanto@c...> wrote:
>
> I prefer videos. Then I don't have to think. S. Szpak

________________________________________________________________
>
> {you wrote...}
> >Scala *really* needs a manual.
>
> It's got one, but it's spelled "Manuel". :)
>
>
>
> (sorry, couldn't resist, and I couldn't agree more, either...)
>
> Cheers,
> Jon
>

--- In MakeMicroMusic@yahoogroups.com, Jon Szanto <jszanto@c...> wrote:

> Because there are an infinite number of 15 note scales one could
come up with. The mathematicians around here will back me up, I'm sure.

Of course. But if we don't tune any finer than midi allows, which is
196608 notes to the octave, and if we assume all notes stay within an
octave and end on an octave, we get a mere 196608^14 scales, which
includes various permuted scales, as well as repeated notes. That's
only 1.29 x 10^74 scales, which is in the range of some estimates of
the number of atoms in the universe.

--- In MakeMicroMusic@yahoogroups.com, "Gene Ward Smith"
<gwsmith@s...> wrote:

That's
> only 1.29 x 10^74 scales, which is in the range of some estimates
of
> the number of atoms in the universe.

I'm looking for a best-of-show list. How many have perfect 5ths
<5 cents off for starters. After that...perfect thirds from
386.3 to 400. After that...etc. Just thinking out loud here.
Don't need anything right this instant. I'm sure there must be
ryhme and reason here if one is open to throwing away
>99.9999999999999999999999999999999999%
of these possible scales.

Stephen

--- In MakeMicroMusic@yahoogroups.com, "Gene Ward Smith"
<gwsmith@s...> wrote:

For a more practical answer to the question, suppose we restrict to
scales of M notes, tuned to N-et, where of course M <= M, and suppose
everything is within an octave, ending on an octave. Then the total
number of such scales is C(N-1, M-1), where C(a,b) is the binomial
coefficient, c(a,b) = a!/(b! (a-b)!). If for instance N is 46 and M is
15, then we get C(45, 14) = 166871334960 possible 46-et scales of 15
notes. Cataloging them would not be practical.

Gene Ward Smith wrote:
> --- In MakeMicroMusic@yahoogroups.com, Jon Szanto <jszanto@c...> wrote:
> > >>Because there are an infinite number of 15 note scales one could
> > come up with. The mathematicians around here will back me up, I'm sure.
> > Of course. But if we don't tune any finer than midi allows, which is
> 196608 notes to the octave, and if we assume all notes stay within an
> octave and end on an octave, we get a mere 196608^14 scales, which
> includes various permuted scales, as well as repeated notes. That's
> only 1.29 x 10^74 scales, which is in the range of some estimates of
> the number of atoms in the universe. > That's a bunch. :-) But you can get a pretty good handle on the sorts of scales that are likely to be of interest by looking at scales that have more than one step of the same size. All the scales with 4 large steps and 11 small steps, for instance, can be categorized together as belonging to the same tuning system (which is associated with "keemun" temperament, tempering out the commas 49/48, 126/125, 875/864, and so on). These steps can be made smaller or larger as long as they add up to an approximate octave, and they can be rearranged to form different scales. There's a relatively small number of these tuning systems with two different sizes of steps. Other scales of interest (including JI scales) might have 3 or more different sizes of steps. There are probably a few (such as a series of 15 adjacent harmonics in the harmonic series) that have steps of all different sizes, but I'm guessing that the most useful scales will have 2 or 3 different sizes of steps. Even with those limitations, that's a pretty good number of possible scales, and most of them have probably not yet been explored in any detail. I've mainly used only porcupine[15] (7 large + 8 small) and keemun[15] (4 large + 11 small).

--- In MakeMicroMusic@yahoogroups.com, Herman Miller <hmiller@I...>
wrote:
>
> Thanks guys. See you in a few days. S. Szpak

--- In MakeMicroMusic@yahoogroups.com, Herman Miller <hmiller@I...> wrote:

> There are
> probably a few (such as a series of 15 adjacent harmonics in the
> harmonic series) that have steps of all different sizes, but I'm
> guessing that the most useful scales will have 2 or 3 different
sizes of
> steps.

JI advocates will want a little more, since if you use n generators in
your tuning system you need n different step sizes. Hence, for
instance, {9/8, 10/9, 16/15} being the same size of set as {2, 3, 5}.
Get up to the 7-limit, and already you want four sizes of steps.

On Sat, 07 Jan 2006, Gene Ward Smith wrote:
> Yes, but I've forgotten what it is. Scala *really* needs a manual. If
> I new how to concatenate files in Windows, I could at least put
> together everything in the cmd directory and maybe find it that way.

1. Open a command window. (Click Start, Run, then type cmd <enter>.)

2. cd (or chdir) to the folder (directory) you have the source files in.

3. Enter commands like: copy infile1+infile2+infile3 outfile
replacing the infile1 etc by the actual filenames, to create outfile.

Regards,
Yahya

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