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An expanded version of Yarman24 comprising 29 notes

🔗Ozan Yarman <ozanyarman@...>

9/27/2008 7:28:44 PM
Attachments

This extended version of Yarman24 (attached to this letter as a SCALA
scale file) boasts 5 new pitches (26/25, 23/20, 15/11, 14/9, and
19/11) to accomodate medieval Islamic genera:

1/1 RAST C
26/25 Nim Zengule C‡
84.360 Nerm Zengule C#/Db
38/35 Zengule Cᵻ/Dƀ
192.180 Dik Zengule Dd
9/8 DUGAH D
23/20 Nim Kurdi D‡
292.180 Kurdi D#/Eb
17/14 Dik Kurdi Dᵻ/Eƀ
16/13 Nerm Segah Ed
5/4 SEGAH E
19/15 Buselik E‡
4/3 CHARGAH F
15/11 Dik Chargah F‡
584.079 Nim Hijaz F#/Gb
36/25 Hijaz/Saba Fᵻ/Gƀ
696.090 Dik Hijaz/Saba Gd
3/2 NEVA G
14/9 Nim Hisar G‡
788.270 Nerm Hisar G#/Ab
18/11 Hisar Gᵻ/Aƀ
888.270 Dik Hisar Ad
27/16 HUSEYNI A
19/11 Nim Ajem A‡
16/9 Ajem A#/Bb
20/11 Dik Ajem Aᵻ/Bƀ
13/7 Nerm Evdj Bd
15/8 EVDJ B
21/11 Mahur B‡
2/1 GERDANIYE C

29-tone maqam music tuning with 12-tones tempered in the style of
Rameau's modified meantone and 17 tones produced by cycle of super-
pyth fifths
|
0: 1/1 0.000 unison, perfect prime
1: 26/25 67.900
2: 84.360 cents 84.360
3: 38/35 142.373
4: 192.180 cents 192.180
5: 9/8 203.910 major whole tone
6: 23/20 241.961
7: 292.180 cents 292.180
8: 17/14 336.130 supraminor third
9: 16/13 359.472 tridecimal neutral third
10: 5/4 386.314 major third
11: 19/15 409.244 undevicesimal ditone
12: 4/3 498.045 perfect fourth
13: 15/11 536.951 undecimal augmented fourth
14: 584.079 cents 584.079
15: 36/25 631.283 classic diminished fifth
16: 696.090 cents 696.090
17: 3/2 701.955 perfect fifth
18: 14/9 764.916 septimal minor sixth
19: 788.270 cents 788.270
20: 18/11 852.592 undecimal neutral sixth
21: 888.270 cents 888.270
22: 27/16 905.865 Pythagorean major sixth
23: 19/11 946.195
24: 16/9 996.090 Pythagorean minor seventh
25: 20/11 1034.996 large minor seventh
26: 13/7 1071.702 16/3-tone
27: 15/8 1088.269 classic major seventh
28: 21/11 1119.463 undecimal major seventh
29: 2/1 1200.000 octave