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Idris Raghib Bey revisited

🔗Danny Wier <dawiertx@sbcglobal.net>

4/20/2005 1:53:57 PM

I decided to compare his 24-tone scale to a Partch tonality diamond with a factor limit of 125 and prime limit of 13, as well as 612-tone equal temperament. I still agree that Raghib Bey is a type of temperament derived from arithmetic means of string lengths, but I decided to experiment anyway.

612-EDO values
1 yekah = 0
2 nim qaba hisar = 27
3 qaba hisar = 63
4 tik qaba hisar (shuri) = 85
5 ashiran = 104
6 nim ajam ashiran = 131
7 ajam ashiran = 154
8 iraq = 188
9 nim kawasht (rahawi) = 220
10 kawasht = 236
11 rast = 254
12 nim zirkulah = 283
13 zirkulah = 309
14 tik zirkulah = 333
15 dukah = 358
16 nim kurdi (nahawand) = 391
17 kurdi = 412
18 sikah = 444
19 nim busalik = 479
20 busalik (ushaq) = 495
21 jaharkah = 508
22 nim hijaz = 529
23 hijaz = 549
24 tik hijaz (saba) = 577
1 nawa = 612

Possible JI intervals (13-limit)
1 = 1/1
2 ~ 33/32
3 ~ 15/14 (2 schismas sharp) or 14/13 (2 flat)
4 ~ 11/10 (1 sharp)
5 = 9/8
6 ~ 81/70 (2 sharp)
7 ~ 25/21
8 ~ 99/80
9 ~ 77/60
10 ~ 64/49
11 = 4/3
12 ~ 91/66 (or 11/8, 3 sharp)
13 ~ 78/55
14 ~ 35/24
15 = 3/2
16 ~ 81/52
17 ~ 78/49 (1 sharp)
18 ~ 81/49
19 ~ 208/121 (or 55/32, 1 sharp)
20 ~ 7/4 (1 sharp)
21 = 16/9
22 ~ 91/50 (or 20/11, 1 sharp)
23 ~ 13/7 (1 sharp) or 28/15 (1 flat)
24 ~ 25/13
1 = 612

~Danny~