Yahoo Tuning Groups Ultimate Backup tuning Ozan 77-tone example :RE: [tuning] Re: Leonard Bernstein 77 tones per octave

Hi ozan

Your eaxmple is a hybrid scale .You mixed 128-EDL and 64-ADO and then deleted from 64-ADO ratios with nominator greater than 77 and from 128-EDL ratios with denominator greater than 77. your system has divisional symmetry on 39th division :
http://240edo.googlepages.com/128.doc

Shaahin Mohajeri

Tombak Player & Researcher , Microtonal Composer

My web site?? ???? ????? ??????

My farsi page in Harmonytalk ???? ??????? ?? ??????? ???

Shaahin Mohajeri in Wikipedia ????? ?????? ??????? ??????? ???? ????

-----Original Message-----
From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf Of Ozan Yarman
Sent: Sunday, December 10, 2006 7:41 PM
To: tuning@yahoogroups.com
Subject: Re: [tuning] Re: Leonard Bernstein 77 tones per octave

Right. Mayhap this is what he meant:

0: 1/1 0.000 unison, perfect prime
1: 65/64 26.841 13th-partial chroma
2: 64/63 27.264 septimal comma, Archytas' comma
3: 33/32 53.273 undecimal comma, al-Farabi's 1/4-tone
4: 32/31 54.964 Greek enharmonic 1/4-tone
5: 67/64 79.307
6: 64/61 83.115
7: 17/16 104.955 17th harmonic
8: 16/15 111.731 minor diatonic semitone
9: 69/64 130.229
10: 64/59 140.828
11: 35/32 155.140 septimal neutral second
12: 32/29 170.423 29th subharmonic
13: 71/64 179.697
14: 64/57 200.532
15: 9/8 203.910 major whole tone
16: 73/64 227.789
17: 8/7 231.174 septimal whole tone
18: 37/32 251.344 37th harmonic
19: 64/55 262.368
20: 75/64 274.582 classic augmented second
21: 32/27 294.135 Pythagorean minor third
22: 19/16 297.513 19th harmonic
23: 77/64 320.144
24: 64/53 326.495
25: 39/32 342.483 39th harmonic, Zalzal wosta of Ibn
Sina
26: 16/13 359.472 tridecimal neutral third
27: 5/4 386.314 major third
28: 64/51 393.090
29: 32/25 427.373 classic diminished fourth
30: 41/32 429.062
31: 64/49 462.348 2 septatones or septatonic major third
32: 21/16 470.781 narrow fourth
33: 4/3 498.045 perfect fourth
34: 43/32 511.518
35: 64/47 534.493
36: 11/8 551.318 undecimal semi-augmented fourth
37: 32/23 571.726 23rd subharmonic
38: 45/32 590.224 diatonic tritone
39: 64/45 609.776 2nd tritone
40: 23/16 628.274 23rd harmonic
41: 16/11 648.682 undecimal semi-diminished fifth
42: 47/32 665.507
43: 64/43 688.482
44: 3/2 701.955 perfect fifth
45: 32/21 729.219 wide fifth
46: 49/32 737.652
47: 64/41 770.938
48: 25/16 772.627 classic augmented fifth
49: 51/32 806.910
50: 8/5 813.686 minor sixth
51: 13/8 840.528 tridecimal neutral sixth
52: 64/39 857.517 39th subharmonic
53: 53/32 873.505
54: 128/77 879.856
55: 32/19 902.487 19th subharmonic
56: 27/16 905.865 Pythagorean major sixth
57: 128/75 925.418 diminished seventh
58: 55/32 937.632
59: 64/37 948.656 37th subharmonic
60: 7/4 968.826 harmonic seventh
61: 128/73 972.211
62: 16/9 996.090 Pythagorean minor seventh
63: 57/32 999.468
64: 128/71 1020.303
65: 29/16 1029.577 29th harmonic
66: 64/35 1044.860 septimal neutral seventh
67: 59/32 1059.172
68: 128/69 1069.771
69: 15/8 1088.269 classic major seventh
70: 32/17 1095.045 17th subharmonic
71: 61/32 1116.885
72: 128/67 1120.693
73: 31/16 1145.036 31st harmonic
74: 64/33 1146.727 33rd subharmonic
75: 63/32 1172.736 octave - septimal comma
76: 128/65 1173.159
77: 2/1 1200.000 octave

Wanna guess how I constructed it?

Oz.

----- Original Message -----
From: "yahya_melb" <yahya@melbpc.org.au>
To: <tuning@yahoogroups.com>
Sent: 10 Aralık 2006 Pazar 17:25
Subject: [tuning] Re: Leonard Bernstein 77 tones per octave

> --- In tuning@yahoogroups.com, "Ozan Yarman" wrote:
> >
> > How about this then:
> >
> > 0: 1/1 0.000 unison, perfect prime
> > 1: 77/76 22.631 approximation to 53-tone comma
> > 2: 77/75 45.561
> > 3: 77/74 68.800
> > 4: 77/73 92.354
> > 5: 77/72 116.234
> > 6: 77/71 140.447
> > 7: 11/10 165.004 4/5-tone, Ptolemy's second
> > 8: 77/69 189.915
> > 9: 77/68 215.188
> > 10: 77/67 240.837
> > 11: 7/6 266.871 septimal minor third
> > 12: 77/65 293.302
> > 13: 77/64 320.144
> > 14: 11/9 347.408 undecimal neutral third
> > 15: 77/62 375.108
> > 16: 77/61 403.259
> > 17: 77/60 431.875
> > 18: 77/59 460.972
> > 19: 77/58 490.567
> > 20: 77/57 520.676
> > 21: 11/8 551.318 undecimal semi-augmented
> fourth
> > 22: 7/5 582.512 septimal or Huygens' tritone,
> BP
> > fourth
> > 23: 77/54 614.279
> > 24: 77/53 646.639
> > 25: 77/52 679.616
> > 26: 77/51 713.233
> > 27: 77/50 747.516
> > 28: 11/7 782.492 undecimal augmented fifth
> > 29: 77/48 818.189
> > 30: 77/47 854.637
> > 31: 77/46 891.870
> > 32: 77/45 929.920
> > 33: 7/4 968.826 harmonic seventh
> > 34: 77/43 1008.626
> > 35: 11/6 1049.363 21/4-tone, undecimal neutral
> seventh
> > 36: 77/41 1091.081
> > 37: 77/40 1133.830
> > 38: 77/39 1177.661
> > 39: 77/38 1222.631 approximation to 53-tone
> comma + 1
> > octave
>
> But Oz!
>
> That (77-EDL) only gives 38 notes per octave.
> Don't you mean 154-EDL? (Or 155 or 156-EDL.) ;-)
>
> Still, I tend to agree with Aaron - Bernstein always strikes me as a
> very practical person.
>
> Regards,
> Yahya
>

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Hi dear brother

Two different way with intersections leading to a result . your way is also based on ADO . Unsorted 2/1-reduced harmonic series from 1/1 to 77/1show different ADO systems as:
1-ADO , 2-ADO , 4 , 8 , 16 , 32 , and some parts of 64-ADO

Shaahin Mohajeri

Tombak Player & Researcher , Microtonal Composer

My web site?? ???? ????? ??????

My farsi page in Harmonytalk ???? ??????? ?? ??????? ???

Shaahin Mohajeri in Wikipedia ????? ?????? ??????? ??????? ???? ????

-----Original Message-----
From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf Of Ozan Yarman
Sent: Monday, December 11, 2006 4:20 PM
To: tuning@yahoogroups.com
Subject: Re: Ozan 77-tone example :RE: [tuning] Re: Leonard Bernstein 77 tones per octave

Uh, that is a complicated version of what I did. Here is what I did
actually:

1. List all harmonics from 1/1 to 77/1,
2. Reduce all pitches to the range of an octave, 3. Resort them from lowest to highest, 4. Backup the original scale and invert it.
5. Merge the modified scale with the copy of the original.

Voila.

----- Original Message -----
From: "Mohajeri Shahin" <shahinm@kayson-ir.com>
To: <tuning@yahoogroups.com>
Sent: 11 Aralık 2006 Pazartesi 7:18
Subject: Ozan 77-tone example :RE: [tuning] Re: Leonard Bernstein 77 tones per octave

Hi ozan

Shaahin Mohajeri

Yahoo! Groups Links

Ozan 77-tone example :RE: [tuning] Re: Leonard Bernstein 77 tones per octave

🔗Mohajeri Shahin <shahinm@kayson-ir.com>

🔗Ozan Yarman <ozanyarman@ozanyarman.com>

🔗Mohajeri Shahin <shahinm@kayson-ir.com>