Carlos Alpha

Carlos Alpha is a non-octave equal temperament with step size about 77.965 cents. It is very close to equal division of the just perfect fifth into nine parts of 77.9950 cents each (9ED3/2), corresponding to 15.3856 edo.

Theory

Article by Wendy Carlos

Carlos Alpha is very closely related to valentine temperament. For a list of 11-limit dyadic chords of Carlos Alpha, see Chords of valentine.

It has a very good representation of the 7:8:10:11:12 chord from the harmonic series.

Intervals

Degrees	Cents ~ Cents octave-reduced	Approximate JI interval (11-limit)
0		1/1 (exact)
1	78	22/21, 21/20
2	156	11/10, 12/11
3	234	8/7, 55/48
4	312	6/5
5	390	5/4
6	468	72/55, 21/16
7	546	15/11, 11/8
8	624	10/7, 63/44
9	702	3/2 (exact)
10	780	11/7, 63/40
11	858	18/11, 33/20
12	936	12/7, 55/32
13	1014	9/5
14	1092	15/8
15	1170	108/55, 63/32
16	1248 ~ 48	45/22, 33/16
17	1326 ~ 126	15/7, 189/88
18	1404 ~ 204	9/4 (exact)
19	1482 ~ 282
20	1560 ~ 360
21	1638 ~ 438
22	1716 ~ 516
23	1794 ~ 594
24	1872 ~ 672
25	1950 ~ 750
26	2028 ~ 828
27	2106 ~ 906
28	2184 ~ 984
29	2262 ~ 1062
30	2340 ~ 1140
31	2418 ~ 18
32	2496 ~ 96
33	2574 ~ 174
34	2652 ~ 252
35	2730 ~ 330
36	2808 ~ 408

Compositions

Bourdigal by Jean-Pierre Poulin

Alpha study 7 - melody study by Joel Grant Taylor

Alphablues by Carlo Serafini

Alphapanther by Carlo Serafini (blog entry)

Alphadesert by Carlo Serafini (blog entry)

AlphaDulcimer by Carlo Serafini (blog entry)

AlphaTherem Waltz by Carlo Serafini (blog entry)

Cubana Al Cubana Pha by Carlo Serafini (blog entry)

DisMLosphere - video by Carlo Serafini (blog entry)

Alpha El Din by Carlo Serafini (blog entry)

Alpha Choir by Carlo Serafini (blog entry)

Alpha Seems To Be The Hardest World by Carlo Serafini (blog entry)

Bossa Sbilenca by Carlo Serafini (blog entry)

Galactic Overload by Carlo Serafini (blog entry)

Alpha Rain (video) by Carlo Serafini (blog entry)

Alpha Delinquent by Carlo Serafini (blog entry)

Alpha Abstract 1 by Carlo Serafini (blog entry)

Miles of Space by Carlo Serafini (blog entry)

MacAtar (video) by Carlo Serafini (blog entry)

Fuzzy Logic by Carlo Serafini (blog entry)

Alpha Asana (video) by Carlo Serafini (blog entry)

Alpha Penguin Tanz (video) by Carlo Serafini (blog entry)

White Woman Speaks Up For #blacklivesmatter (video) by Carlo Serafini (blog entry)

Jayni's song by Carlo Serafini (blog entry)

01.03.12 W.C.a. by Omega9