cluster — SCL Detail

13-tone 5-limit Tritriadic Cluster

File comments

! cluster.scl ! ! !This set of notes is sufficient to play all 8 species of the Ellis Trichordals !(ma.ma.ma. through mi.mi.mi.) of the 3 types, D->T, M->T, and D->M with 1/1 asa !common tonic. By modal rotation, all 56 modes of each type are playable. The !D->M contain 2 each of 6,7,and 8 tone scales; the other type only 7 tone scale. !For further symmetry, add 25/18 to make 14 tones.

Playback

Select a tone, then click Begin. Use Arrow keys to step; Space stops. You can also use 1-0, qwertyuiop, asdfghjkl, zxcvbnm.

Overview (non-12°)

Degrees (now extended to 2 octaves)

#	Raw	Type	Ratio	Cents
1	25/24	ratio	25/24	70.67
2	9/8	ratio	9/8	203.91
3	6/5	ratio	6/5	315.64
4	5/4	ratio	5/4	386.31
5	4/3	ratio	4/3	498.04
6	36/25	ratio	36/25	631.28
7	3/2	ratio	3/2	701.96
8	25/16	ratio	25/16	772.63
9	8/5	ratio	8/5	813.69
10	5/3	ratio	5/3	884.36
11	9/5	ratio	9/5	1017.60
12	15/8	ratio	15/8	1088.27
13	2/1	ratio	2/1	1200.00
14		2nd octave		1270.67
15		2nd octave		1403.91
16		2nd octave		1515.64
17		2nd octave		1586.31
18		2nd octave		1698.04
19		2nd octave		1831.28
20		2nd octave		1901.96
21		2nd octave		1972.63
22		2nd octave		2013.69
23		2nd octave		2084.36
24		2nd octave		2217.60
25		2nd octave		2288.27
26		2nd octave		2400.00