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	∞
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¢) (convergent)
Twelfth	5\1ed5/4 (1931.57¢) (convergent)
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