User:Overthink/Sandbox

Interval information

Factorization	2-702 × 3400 × 7-99 × 11100
Monzo	[-702 400 0 -99 100⟩
Size in cents	0.02984219¢
Name(s)	missing ?
Special properties	reduced
Tenney norm (log2 nd)	1959.86
Weil norm (log2 max(n, d))	1959.86
Wilson norm (sopfr(nd))	4397
Audio demonstration
Open this interval in xen-calc

The difference between 100 896/891's and 7/4

Rank-3 tuning spectrum

9-odd-limit: 1/1, 10/9, 9/8, 8/7, 7/6, 6/5, 5/4, 9/7, 4/3, 7/5, and complements

Single tunings fully defined by eigenmonzos (+ the octave):

{10/9, 9/8, 6/5, 5/4, 4/3}, {10/9, 8/7}, {10/9, 7/6}, {10/9, 9/7, 7/5}, {9/8, 8/7, 7/6, 9/7, 4/3}, {9/8, 4/3, 7/5}, {8/7, 6/5}, {8/7, 5/4, 7/5}, {7/6, 6/5, 7/5}, {7/6, 5/4}, {6/5, 9/7}, {5/4, 9/7}

Marvel

{10/9, 9/8, 6/5, 5/4, 4/3}: ~3/2: 701.955 ¢, ~5/4: 386.314 ¢

{10/9, 8/7} ~3/2: 700.670 ¢, ~5/4: 383.743 ¢

{10/9, 7/6} ~3/2: 700.413 ¢, ~5/4: 383.229  ¢

{10/9, 9/7, 7/5} ~3/2: 700.027 ¢, ~5/4: 382.458 ¢

{9/8, 8/7, 7/6, 9/7, 4/3} ~3/2:  ¢, ~5/4:  ¢

{9/8, 4/3, 7/5} ~3/2:  ¢, ~5/4:  ¢

{8/7, 6/5} ~3/2:  ¢, ~5/4:  ¢

{8/7, 5/4, 7/5} ~3/2:  ¢, ~5/4:  ¢

{7/6, 6/5, 7/5} ~3/2:  ¢, ~5/4:  ¢

{7/6, 5/4} ~3/2:  ¢, ~5/4:  ¢

{6/5, 9/7} ~3/2:  ¢, ~5/4:  ¢

{5/4, 9/7}