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: 701.955 ¢, ~5/4: 382.458 ¢

{9/8, 4/3, 7/5}:

~3/2: 701.955 ¢, ~5/4: 378.602 ¢

{8/7, 6/5}:

~3/2: 700.027 ¢, ~5/4: 384.386 ¢

{8/7, 5/4, 7/5}:

~3/2: 698.099 ¢, ~5/4: 386.314 ¢

{7/6, 6/5, 7/5}:

~3/2: 699.384 ¢, ~5/4: 383.743 ¢

{7/6, 5/4}:

~3/2: 694.243 ¢, ~5/4: 386.314 ¢

{6/5, 9/7}:

~3/2: 698.099 ¢, ~5/4: 382.458 ¢

{5/4, 9/7} (impossible)

Gene- rator	~3/2
~5/4	EDO tuning
	(↓↓↓)	Eigenmonzo		112/75	25/14	25/21	63/50	189/100	567/400	3/2
		(↓↓↓)	Size (¢)	694.243	698.099	699.384	700.027	700.413	700.670	701.955
		56/45	378.692							{3/2, 7/5}
	6\19		378.947
	13\41		380.488
	7\22		381.818
		9/7	382.458		{5/3, 9/7}		{7/5, 9/5}			{3/2, 7/4}
		245/162	383.229					{7/6, 9/5}
	23\72		383.333
		36/35	383.743			{5/3, 7/6}			{7/4, 9/5}
		175/144	384.386				{5/3, 7/4}
	17\53		384.906
		5/4	386.314	{5/4, 7/6}	{5/4, 7/4}					{3/2, 5/4}
	10\31		387.097
	4\12		400.000