Yahoo Tuning Groups Ultimate Backup makemicromusic Second in Forty Six

--- In MakeMicroMusic@yahoogroups.com, Rozencrantz the Sane
<rozencrantz@g...> wrote:

> Of course, it's never very indicative of a piece what the
> composer/performer thinks of it, so I'll leave it up to the jury.

Actually,I thought it was cool beans. Becuase of the way you treated
it, it was less noisy than your first piece, and did not strike me as
at all harsh.

You've now got to your second in 46, and I'm still plugging away at
something. But I'm working on it, and it is getting done.

In case you want for scale ideas, here are some dug out of postings of
mine from four years ago on tuning-math. I did a computer search for
46-et scales, trying to maximize the number of consonant intervals, by
various measures. Aside from the star and nova scales you've already
seen, you might want to try:

6 notes

[12, 24, 27, 39, 43, 46]
[12, 12, 3, 12, 4, 3]

9 notes

scale: [3, 6, 15, 18, 27, 30, 39, 42, 46]
steps: [3, 3, 9, 3, 9, 3, 9, 3, 4]

scale: [3, 6, 15, 18, 27, 30, 34, 37, 46]
steps: [3, 3, 9, 3, 9, 3, 4, 3, 9]

10 notes

scale: [4, 8, 12, 16, 23, 27, 31, 35, 39, 46]
steps: [4, 4, 4, 4, 7, 4, 4, 4, 4, 7]

scale: [4, 8, 12, 16, 20, 27, 31, 35, 39, 46]
steps: [4, 4, 4, 4, 4, 7, 4, 4, 4, 7]

12 notes

scale: [4, 8, 12, 16, 20, 23, 27, 31, 35, 39, 43, 46]
steps: [4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3]

scale: [4, 8, 12, 16, 20, 24, 27, 31, 35, 39, 43, 46]
steps: [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3]

scale: [3, 6, 9, 15, 18, 21, 27, 30, 33, 37, 40, 46]
steps: [3, 3, 3, 6, 3, 3, 6, 3, 3, 4, 3, 6]

🔗Yahya Abdal-Aziz <yahya@...>

Hi RtS (or mbf),

On Tue, 17 Jan 2006 Rozencrantz the Sane
(aka mockingbirdfranklin) wrote:
>
> Unless the internet has decided it hates me once again, you can hear
> my second experiment with 46-TET at
> http://www.soundclick.com/mockingbirdfranklin
>
> This one uses a rather sharply dissonant 5 note subset, Sensi(5), a
> MOS from 5 steps of a 17 degree generator. I don't really like how it
> came out, and I may redo it if I have time. Intellectually I like the
> contrast between the Eno-ambient pacing and the sharp, serialist
> texture, but aesthetically it feels wanting.
>
> Of course, it's never very indicative of a piece what the
> composer/performer thinks of it, so I'll leave it up to the jury.
>
> Instruments: eKeys keyboard MIDI controller, Creative SB Live
> synthesizer, Scala. Heavy post-production in Audacity.

Better than the first, I thought. Nice sonorities; love
those bells! They showcase the tuning, and make this
a piece for quiet contemplation. I _will_ be playing it
again! :-)

Regards,
Yahya

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🔗Yahya Abdal-Aziz <yahya@...>

Hi Gene & Rosencrantz,

On Wed, 18 Jan 2006 Gene Ward Smith wrote:
[snip]
> In case you want for scale ideas, here are some dug out of postings of
> mine from four years ago on tuning-math. I did a computer search for
> 46-et scales, trying to maximize the number of consonant intervals, by
> various measures. Aside from the star and nova scales you've already
> seen, you might want to try:
>
> 6 notes
>
46.06.01
scale: [12, 24, 27, 39, 43, 46]
steps: [12, 12, 3, 12, 4, 3]

> 9 notes
46.09.01
scale: [3, 6, 15, 18, 27, 30, 39, 42, 46]
steps: [3, 3, 9, 3, 9, 3, 9, 3, 4]

46.09.03
scale: [3, 6, 15, 18, 27, 30, 34, 37, 46]
steps: [3, 3, 9, 3, 9, 3, 4, 3, 9]

> 10 notes
46.10.01
scale: [4, 8, 12, 16, 23, 27, 31, 35, 39, 46]
steps: [4, 4, 4, 4, 7, 4, 4, 4, 4, 7]

46.10.02
scale: [4, 8, 12, 16, 20, 27, 31, 35, 39, 46]
steps: [4, 4, 4, 4, 4, 7, 4, 4, 4, 7]

> 12 notes
46.12.01
scale: [4, 8, 12, 16, 20, 23, 27, 31, 35, 39, 43, 46]
steps: [4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3]

46.12.02
scale: [4, 8, 12, 16, 20, 24, 27, 31, 35, 39, 43, 46]
steps: [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3]

46.12.03
scale: [3, 6, 9, 15, 18, 21, 27, 30, 33, 37, 40, 46]
steps: [3, 3, 3, 6, 3, 3, 6, 3, 3, 4, 3, 6]

Spoilt for choice! But wait, there's more!
What about these subsets of the second
10-note scale, which I labelled 46.10.02?:

5 notes

46.05.01
scale: [12, 20, 27, 35, 46]
steps: [12, 8, 7, 8, 11]

46.05.02
scale: [12, 20, 27, 39, 46]
steps: [12, 8, 7, 12, 7]

Yes, there ARE 3 or 4 step sizes, but these rather
twisted pentatonics have a bit of extra flavour
and spice.

Scala shows there is no proper diatonic distribution
of form 46EDO, nor one of form 3L+4Z. The only
"strictly proper" distribution of form 3L+2M+2S is:
.. 8 ... 6 .... 5 .... 8 ..... 6 ..... 8 ..... 5
0 .. 8 .. 14 .. 19 .. 27 .. 33 .. 41 .. 46
C .. d .... e .... f ..... G .... a ..... b ..... C

By combining two adjacent intervals of this scale,
we get these four pentatonic subscales:
.. 14 ... 5 ... 14 .... 8 ..... 5
0 .. 14 .. 19 .. 33 .. 41 .. 46
C ... e .... f ..... a ..... b ..... C

.. 14 .... 5 ... 8 .... 14 .... 5
0 .. 14 .. 19 .. 27 .. 41 .. 46
C .... e .... f ..... G .... b ..... C

.. 8 ... 6 .... 13 ..... 6 ..... 13
0 .. 8 .. 14 .. 27 .. 33 .. 46
C .. d .... e .... G .... a ..... C

and finally (removing the tonic C):
... 6 ... 13 .... 6 .... 8 .... 13
8 .. 14 .. 27 .. 33 .. 41 .. 8
d .... e .... G .... a ..... b ..... d

Transposing this last scale down by 8 steps of 46,
we have instead:

... 6 ... 13 .... 6 .... 8 .... 13
0 ... 6 ... 19 .. 25 .. 33 .. 46
d .... e .... G .... a ..... b ..... d

In Gene's more compact notation, these four
pentatonic scales are:

46.05.03
scale: [14, 19, 33, 41, 46]
steps: [14, 5, 14, 8, 5]

46.05.04
scale: [14, 19, 27, 41, 46]
steps: [14, 5, 8, 14, 5]

46.05.05
scale: [8, 14, 27, 33, 46]
steps: [8, 6, 13, 6, 13]

46.05.06
scale: [6, 19, 25, 33, 46]
steps: [6, 13, 6, 6, 13]

I've just noticed there is a "strictly proper"
distribution of form 6X+Y, from which
heptatonic it should be possible to extract
six pentatonics with three different step
sizes 4, 7, & 14 of 46, and another few with
three step sizes 7, 11 & 14 of 46. If you are
so inclined! What's more, none of these seem
to be subscales of those I've numbered above.

------

What about harmonies? Try this in Scala:
EQUAL 46 2/1
SET ATTRIB NOTATION E46
SET MAXDIFF 0.2
CHORDS/MATCH/CONSTRAINED 0

------

Regards,
Yahya

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🔗Rozencrantz the Sane <rozencrantz@...>

🔗Carl Lumma <ekin@...>

Good work, Yahya. Have you considered posting Scala files
for these?

-Carl

At 09:24 PM 1/18/2006, you wrote:
>
>Hi Gene & Rosencrantz,
>
>On Wed, 18 Jan 2006 Gene Ward Smith wrote:
>[snip]
>> In case you want for scale ideas, here are some dug out of postings of
>> mine from four years ago on tuning-math. I did a computer search for
>> 46-et scales, trying to maximize the number of consonant intervals, by
>> various measures. Aside from the star and nova scales you've already
>> seen, you might want to try:
>>
>> 6 notes
>>
>46.06.01
> scale: [12, 24, 27, 39, 43, 46]
> steps: [12, 12, 3, 12, 4, 3]
>
>
>> 9 notes
>46.09.01
> scale: [3, 6, 15, 18, 27, 30, 39, 42, 46]
> steps: [3, 3, 9, 3, 9, 3, 9, 3, 4]
>
>46.09.03
> scale: [3, 6, 15, 18, 27, 30, 34, 37, 46]
> steps: [3, 3, 9, 3, 9, 3, 4, 3, 9]
>
>
>> 10 notes
>46.10.01
> scale: [4, 8, 12, 16, 23, 27, 31, 35, 39, 46]
> steps: [4, 4, 4, 4, 7, 4, 4, 4, 4, 7]
>
>46.10.02
> scale: [4, 8, 12, 16, 20, 27, 31, 35, 39, 46]
> steps: [4, 4, 4, 4, 4, 7, 4, 4, 4, 7]
>
>
>> 12 notes
>46.12.01
> scale: [4, 8, 12, 16, 20, 23, 27, 31, 35, 39, 43, 46]
> steps: [4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3]
>
>46.12.02
> scale: [4, 8, 12, 16, 20, 24, 27, 31, 35, 39, 43, 46]
> steps: [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3]
>
>46.12.03
> scale: [3, 6, 9, 15, 18, 21, 27, 30, 33, 37, 40, 46]
> steps: [3, 3, 3, 6, 3, 3, 6, 3, 3, 4, 3, 6]
>
>
>Spoilt for choice! But wait, there's more!
>What about these subsets of the second
>10-note scale, which I labelled 46.10.02?:
>
> 5 notes
>
>46.05.01
> scale: [12, 20, 27, 35, 46]
> steps: [12, 8, 7, 8, 11]
>
>46.05.02
> scale: [12, 20, 27, 39, 46]
> steps: [12, 8, 7, 12, 7]
>
>Yes, there ARE 3 or 4 step sizes, but these rather
>twisted pentatonics have a bit of extra flavour
>and spice.
>
>
>Scala shows there is no proper diatonic distribution
>of form 46EDO, nor one of form 3L+4Z. The only
>"strictly proper" distribution of form 3L+2M+2S is:
> .. 8 ... 6 .... 5 .... 8 ..... 6 ..... 8 ..... 5
> 0 .. 8 .. 14 .. 19 .. 27 .. 33 .. 41 .. 46
> C .. d .... e .... f ..... G .... a ..... b ..... C
>
>By combining two adjacent intervals of this scale,
>we get these four pentatonic subscales:
> .. 14 ... 5 ... 14 .... 8 ..... 5
> 0 .. 14 .. 19 .. 33 .. 41 .. 46
> C ... e .... f ..... a ..... b ..... C
>
> .. 14 .... 5 ... 8 .... 14 .... 5
> 0 .. 14 .. 19 .. 27 .. 41 .. 46
> C .... e .... f ..... G .... b ..... C
>
> .. 8 ... 6 .... 13 ..... 6 ..... 13
> 0 .. 8 .. 14 .. 27 .. 33 .. 46
> C .. d .... e .... G .... a ..... C
>
>and finally (removing the tonic C):
> ... 6 ... 13 .... 6 .... 8 .... 13
> 8 .. 14 .. 27 .. 33 .. 41 .. 8
> d .... e .... G .... a ..... b ..... d
>
>Transposing this last scale down by 8 steps of 46,
>we have instead:
>
> ... 6 ... 13 .... 6 .... 8 .... 13
> 0 ... 6 ... 19 .. 25 .. 33 .. 46
> d .... e .... G .... a ..... b ..... d
>
>In Gene's more compact notation, these four
>pentatonic scales are:
>
>46.05.03
> scale: [14, 19, 33, 41, 46]
> steps: [14, 5, 14, 8, 5]
>
>46.05.04
> scale: [14, 19, 27, 41, 46]
> steps: [14, 5, 8, 14, 5]
>
>46.05.05
> scale: [8, 14, 27, 33, 46]
> steps: [8, 6, 13, 6, 13]
>
>46.05.06
> scale: [6, 19, 25, 33, 46]
> steps: [6, 13, 6, 6, 13]
>
>I've just noticed there is a "strictly proper"
>distribution of form 6X+Y, from which
>heptatonic it should be possible to extract
>six pentatonics with three different step
>sizes 4, 7, & 14 of 46, and another few with
>three step sizes 7, 11 & 14 of 46. If you are
>so inclined! What's more, none of these seem
>to be subscales of those I've numbered above.
>
>------
>
>What about harmonies? Try this in Scala:
>EQUAL 46 2/1
>SET ATTRIB NOTATION E46
>SET MAXDIFF 0.2
>CHORDS/MATCH/CONSTRAINED 0
>
>------
>
>Regards,
>Yahya
>
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>No virus found in this outgoing message.
>Checked by AVG Free Edition.
>Version: 7.1.375 / Virus Database: 267.14.20/234 - Release Date: 18/1/06
>
>
>
>
>Yahoo! Groups Links
>
>
>
>

🔗Gene Ward Smith <gwsmith@...>

🔗Yahya Abdal-Aziz <yahya@...>

On Thu, 19 Jan 2006 Gene Ward Smith wrote:
>
> --- In MakeMicroMusic@yahoogroups.com, Carl Lumma <ekin@l...> wrote:
> >
> > Good work, Yahya. Have you considered posting Scala files
> > for these?
>
> Where does the naming system come from?

Hi Gene,

Straight outa my head. :-)

pp.mm.nn =
scale number nn (in "accession" order)
of mm notes
from pp-EDO.

I only used two digits for each element of this pseudo-
Dewey classification, so as set up so far, it can't handle
720-EDO. A more properly Dewey classification would
have a variable number of digits in each element, with
no leading zeroes. I included leading zeroes to make
them sort better lexically.

FAPP, a better system might use 3-digit elements, thus:

ppp.mmm.nnn =
scale number nnn (in "accession" order)
of mmm notes
from ppp-EDO.

Regards,
Yahya

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🔗Paul Erlich <paul@...>

Gene, I'm glad you ended up reproducing my "srutal" suggestions
below, which Rozencrantz seems to have ignored so far . . .

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

> 10 notes
>
> scale: [4, 8, 12, 16, 23, 27, 31, 35, 39, 46]
> steps: [4, 4, 4, 4, 7, 4, 4, 4, 4, 7]

This is the symmetrical decatonic scale (5-limit)

> scale: [4, 8, 12, 16, 20, 27, 31, 35, 39, 46]
> steps: [4, 4, 4, 4, 4, 7, 4, 4, 4, 7]

This is the pentachordal decatonic scale (5-limit)

> 12 notes
>
> scale: [4, 8, 12, 16, 20, 23, 27, 31, 35, 39, 43, 46]
> steps: [4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3]

This is the symmetrical dodecatonic scale (5-limit)

> scale: [4, 8, 12, 16, 20, 24, 27, 31, 35, 39, 43, 46]
> steps: [4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3]

This is the hexachordal dodecatonic scale (5-limit)

Note that Gene and I see these as 'scales' but not necessarily the
most promising 'modes' of them; try all the different rotations of
each (for example, the first one rotates to:
4, 4, 4, 7, 4, 4, 4, 4, 7, 4;
4, 4, 7, 4, 4, 4, 4, 7, 4, 4;
4, 7, 4, 4, 4, 4, 7, 4, 4, 4;
7, 4, 4, 4, 4, 7, 4, 4, 4, 4 . . .) if you're going to be writing
music with anything like a tonal center . . .