User:Plumtree/Sandbox

0edo

1edo →

Prime factorization	n/a
Step size	0 ¢
Fifth	0\0 (0 ¢)
Semitones (A1:m2)	0:0 (0 ¢ : 0 ¢)
Consistency limit	∞
Distinct consistency limit	1
Special properties	Zeta peak Zeta peak integer

← 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

← 11edo

12edo

13edo →

Prime factorization	22 × 3
Step size	100 ¢ (by definition)
Fifth	7\12 (700 ¢) (convergent)
Semitones (A1:m2)	1:1 (100 ¢ : 100 ¢)
Consistency limit	9
Distinct consistency limit	5
Special properties	Highly composite Zeta peak Zeta peak integer Zeta integral Zeta gap

← 11edf

12edf

13edf →

Prime factorization	22 × 3
Step size	58.4963 ¢
Octave	21\12edf (1228.42 ¢) (→ 7\4edf)
Twelfth	33\12edf (1930.38 ¢) (→ 11\4edf)
Consistency limit	2
Distinct consistency limit	2
Special properties	Highly composite

← 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

← 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	1
Special properties	Highly composite

← 50399edo

50400edo

50401edo →

Prime factorization	25 × 32 × 52 × 7
Step size	0.0238095 ¢
Fifth	29482\50400 (701.952 ¢) (→ 14741\25200)
Semitones (A1:m2)	4774:3790 (113.7 ¢ : 90.24 ¢)
Consistency limit	7
Distinct consistency limit	7
Special properties	Highly composite

← 199edo

200edo

201edo →

Prime factorization	23 × 52
Step size	6 ¢
Fifth	117\200 (702 ¢) (semiconvergent)
Semitones (A1:m2)	19:15 (114 ¢ : 90 ¢)
Consistency limit	9
Distinct consistency limit	9