Carlos Beta

Carlos Beta is a non-octave equal temperament with step size about 63.833 cents, or almost exactly every fifth step of 94edo. It is very close to equal division of the just perfect fifth into eleven parts of 63.8141 cents each (11ED3/2), corresponding to 18.8046 edo.

Carlos Beta divides the octave in [math]\displaystyle{ \frac{11^2 + 6^2 + 5^2}{11\log_2(3/2) + 6\log_2(5/4) + 5\log_2(6/5)} }[/math] ≃ 18.799074 equal steps and the fifth in 10.996753 equal steps of 63.832933 cents each.

Theory

Carlos Beta is a non-octave, equally tempered scale discovered by Wendy Carlos. It is related to the sycamore temperaments; betic and 5-limit sycamore in particular.

Lookalikes: 19edo, 30edt, 94edo

Intervals

Degrees	Cents ~ Cents octave reduced	Approximate JI interval ~ octave reduced
0	0
1	64
2	128
3	191
4	255
5	319	6/5
6	383	5/4
7	447
8	510.5
9	574
10	638
11	702	3/2 (exact)
12	766
13	830	13/8-ish
14	893
15	957
16	1021
17	1085	15/8
18	1149
19	1211.5 ~ 11.5	2/1-ish
20	1276 ~ 76
21	1340 ~ 140
22	1404 ~ 204	9/4~9/8 (exact)
23	1468 ~ 268	better 7/6
24	1532 ~ 332
25	1595 ~ 395
26	1659 ~ 459
27	1723 ~ 523
28	1787 ~ 587
29	1851 ~ 651
30	1914 ~ 714
31	1978 ~ 778
32	2042 ~ 842	13/4 ~ 13/8 (better)
33	2106 ~ 906
34	2170 ~ 970
35	2233 ~ 1033
36	2297 ~ 1097

Music

See also: Category:Carlos Beta tracks

• The Dawn Of Beta by Carlo Serafini (blog entry)
• Lonely Beta Woman by Carlo Serafini (blog entry)
• Over The Beta Rainbow by Carlo Serafini (blog entry)
• Tribalism #2 by Carlo Serafini (blog entry)
• Beta Easter(n) (video) by Carlo Serafini (blog entry)
• tiBETAn Dreams by Carlo Serafini (blog) (entry)
• Angela B. by Carlo Serafini (blog entry)
• UGDoLA (video) by Carlo Serafini (blog entry)
• Austrian Fantasy (video) by Carlo Serafini (blog entry)
• cærulea by Omega9
• Way Without Time OST play by Omega9
• Tionmifarosalmimemkelkfoje play by Omega9
• Cordas play by Omega9

See also

• Chord progressions in 19edo-family scales

External links

• Article by Wendy Carlos (Permalink)