User:Plumtree/Sandbox

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9edo test

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

12edo test

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

12edf test

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

18edo test

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

Prime factorization

7 (prime)

Step size

55.1877 ¢

Octave

22\7ed5/4 (1214.13 ¢)

Twelfth

34\7ed5/4 (1876.38 ¢)
(semiconvergent)

Consistency limit

2

Distinct consistency limit

2

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.

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