Data entry

Scales can be written manually by typing them in to the Scale data text field. Enter one interval per line. Do not enter 1/1 on the first line as it is already assumed that the first note is 1/1.

Interval types

• Values with a period (.) are cents: e.g. 701.955
• Values with a slash (/) are ratios (of frequencies): e.g. 3/2 (the ratio between 300Hz and 200Hz or 600Hz and 400Hz)
• Values with a comma (,) are decimal numbers (ratios of frequencies): e.g. 1,5 = 3/2
• Values with a backslash (n\m) are n degrees of m-EDO: e.g. 7\12 (a fraction of 7/12 of the octave in pitch-space i.e. 2^7/12 ≈ 1,498)
• N-of-EDO values generalize to N-of-EDJI with the JI ratio defined in angle brackets: e.g. 2\5<3> (a fraction of 2/5 of the tritave in pitch-space i.e. 3^2/5 ≈ 1,552
• Values between a square and an angle bracket are monzos: e.g. [-4 4 -1> = 2^-4·3⁴·5^-1 = 81/80
• Values can be freely combined using plus (+) and minus (-): e.g. 3/2 - 1.955

Note that plus (+) and minus (-) operate in pitch/monzo space so 3/1 + 5/1 = 3·5 = 15/1 (not 8/1 as you would get if addition was done in frequency-space).

Just intonation examples

5-limit just major:

9/8
5/4
4/3
3/2
5/3
15/8
2/1

Harmonics 8-16:

9/8
10/8
11/8
12/8
13/8
14/8
15/8
16/8

Equal temperament examples

Blackwood[15] in 15edo:

2\15
3\15
5\15
6\15
8\15
9\15
11\15
12\15
14\15
15\15

8edo in cents:

150.
300.
450.
600.
750.
900.
1050.
1200.

Misc examples

Rank-2 scale (in random spelling) tempering out the magic comma and using the double octave as the interval of equivalence resulting in 6L 7s MOS pattern:

117.006
5/4 - 5.814
497.505
[-4, 0, 2> - 23.258
878.004
1141.497
1258.503
1521.996
1639.002
3/1 + 0.542
3,222
2282.994
4,