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 77.995 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	25/24, 22/21, 21/20
2	156	12/11, 35/32, 11/10
3	234	8/7, 55/48
4	312	6/5
5	390	5/4
6	468	72/55, 21/16
7	546	15/11, 48/35, 11/8
8	624	10/7, 63/44, 36/25
9	702	3/2 (exact)
10	780	25/16, 11/7, 63/40
11	858	18/11, 105/64, 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, 72/35, 33/16
17	1326 ~ 126	15/7, 189/88, 54/25
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 ^{[dead link]}
• 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