User:Plumtree/Sandbox

← 11edf 12edf 13edf →
Prime factorization	22 × 3 (highly composite)
Step size	58.4963 ¢
Octave	21\12edf (1228.42 ¢) (→ 7\4edf)
Twelfth	33\12edf (1930.38 ¢) (→ 11\4edf)
Consistency limit	3
Distinct consistency limit	3

← 11edo 12edo 13edo →
Prime factorization	22 × 3 (highly composite)
Step size	100 ¢ (by definition)
Fifth	7\12 (700 ¢); (convergent)
Semitones (A1:m2)	1:1 (100 ¢ : 100 ¢)
Consistency limit	9
Distinct consistency limit	5

← 8edo 9edo 10edo →
Prime factorization	32
Step size	133.333 ¢
Fifth	5\9 (666.667 ¢)
Semitones (A1:m2)	-1:2 (-133.3 ¢ : 266.7 ¢)
Consistency limit	7
Distinct consistency limit	5

9edo test

12edo test

12edf test

18edo test

← 17edo

18edo

19edo →

Prime factorization

2 × 3²

Step size

66.6667 ¢

Fifth

11\18 (733.333 ¢)

Semitones (A1:m2)

5:-1 (333.3 ¢ : -66.67 ¢)

Dual sharp fifth

11\18 (733.333 ¢)

Dual flat fifth

10\18 (666.667 ¢) (→ 5\9)

Dual major 2nd

3\18 (200 ¢) (→ 1\6)

Consistency limit

7

Distinct consistency limit

5

1ed5/4 test

← 0ed5/4

1ed5/4

2ed5/4 →

Prime factorization

n/a

Step size

386.314 ¢

Octave

3\1ed5/4 (1158.94 ¢)

Twelfth

5\1ed5/4 (1931.57 ¢)

Consistency limit

7

Distinct consistency limit

4

311edo test

← 310edo

311edo

312edo →

Prime factorization

311 (prime)

Step size

3.85852 ¢

Fifth

182\311 (702.251 ¢)

Semitones (A1:m2)

30:23 (115.8 ¢ : 88.75 ¢)

Consistency limit

41

Distinct consistency limit

23

Rational kets

17/7: [0 0 0 -1 0 0 1⟩
34/14: [0 0 0 -1 0 0 1⟩
0/1: n/a
-1/0: n/a
0/0: n/a
102: [1 1 0⁴ 1⟩
test: Invalid rational number: test.