The smallest LCM 3-octave, 36 note JI scale.

This post purports to answer the question: What is the smallest
LCM that will produce a three octave, 36 note scale. (I know, nobody asked.)

It is interesting to note, that though the scale contains 36 notes, the
notes may not be distributed 12 per octave.

LCM: 2^3*3^2*5*7*11

36 420 84/ 11
35 396 36/ 5
34 385 7/ 1
33 360 72/ 11
32 330 6/ 1
31 315 63/ 11
30 308 28/ 5
29 280 56/ 11
28 264 24/ 5
27 252 252/ 55
26 231 21/ 5
25 220 4/ 1
24 210 42/ 11
23 198 18/ 5
22 180 36/ 11
21 168 168/ 55
20 165 3/ 1
19 154 14/ 5
18 140 28/ 11
17 132 12/ 5
16 126 126/ 55
15 120 24/ 11
14 110 2/ 1 Octave
13 105 21/ 11
12 99 9/ 5 Minor Seventh
11 90 18/ 11
10 88 8/ 5 Minor Sixth
9 84 84/ 55
8 77 7/ 5
7 72 72/ 55
6 70 14/ 11
5 66 6/ 5 Minor Third
4 63 63/ 55
3 60 12/ 11
2 56 56/ 55
1 55 1/ 1 Unison

Minimum Chords:

1 4 1: 2: 4 1- 14- 25
2 4 1: 2: 4 4- 16- 27
3 4 1: 2: 4 5- 17- 28
4 4 1: 2: 4 6- 18- 29
5 4 1: 2: 4 8- 19- 30
6 4 1: 2: 4 11- 22- 33
7 4 1: 2: 4 12- 23- 35
8 4 1: 2: 4 13- 24- 36
9 6 1: 3: 6 1- 20- 32
10 6 1: 2: 3 3- 15- 22
11 6 1: 2: 3 8- 19- 26
12 6 1: 2: 3 9- 21- 27
13 6 1: 2: 3 13- 24- 31
14 6 2: 3: 6 2- 9- 21
15 6 2: 3: 6 10- 17- 28
16 10 1: 2: 5 8- 19- 34
17 10 2: 5: 10 7- 22- 33


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