ID Systems for Musical Scales

by Luke Knotts

When making a website, having a numeric ID for each musical scale is useful. Ian Ring used binary representations of musical scales on their website. An example of the system is below.

Binary Scale IDs

Type your edo tuning!

The current tuning is 12edo. There are 4,096 scales (including transpositions) in this tuning.

Decimal	12-bit Binary	Pc Set
0	000000000000	0
1	000000000001	1
2	000000000010	2
3	000000000011	3
4	000000000100	4
5	000000000101	5
6	000000000110	6
7	000000000111	7
8	000000001000	8
9	000000001001	9
10	000000001010	10
11	000000001011	11
12	000000001100	12
13	000000001101	13
14	000000001110	14
15	000000001111	15
16	000000010000	16
17	000000010001	17
18	000000010010	18
19	000000010011	19
20	000000010100	20
21	000000010101	21
22	000000010110	22
23	000000010111	23
24	000000011000	24
25	000000011001	25
26	000000011010	26
27	000000011011	27
28	000000011100	28
29	000000011101	29
30	000000011110	30
31	000000011111	31
32	000000100000	32
33	000000100001	33
34	000000100010	34
35	000000100011	35
36	000000100100	36
37	000000100101	37
38	000000100110	38
39	000000100111	39
40	000000101000	40
41	000000101001	41
42	000000101010	42
43	000000101011	43
44	000000101100	44
45	000000101101	45
46	000000101110	46
47	000000101111	47
48	000000110000	48
49	000000110001	49
50	000000110010	50
51	000000110011	51
52	000000110100	52
53	000000110101	53
54	000000110110	54
55	000000110111	55
56	000000111000	56
57	000000111001	57
58	000000111010	58
59	000000111011	59
60	000000111100	60
61	000000111101	61
62	000000111110	62
63	000000111111	63
64	000001000000	64
65	000001000001	65
66	000001000010	66
67	000001000011	67
68	000001000100	68
69	000001000101	69
70	000001000110	70
71	000001000111	71
72	000001001000	72
73	000001001001	73
74	000001001010	74
75	000001001011	75
76	000001001100	76
77	000001001101	77
78	000001001110	78
79	000001001111	79
80	000001010000	80
81	000001010001	81
82	000001010010	82
83	000001010011	83
84	000001010100	84
85	000001010101	85
86	000001010110	86
87	000001010111	87
88	000001011000	88
89	000001011001	89
90	000001011010	90
91	000001011011	91
92	000001011100	92
93	000001011101	93
94	000001011110	94
95	000001011111	95
96	000001100000	96
97	000001100001	97
98	000001100010	98
99	000001100011	99