7936/7921

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Interval information

Ratio	7936/7921
Subgroup monzo	2.31.89 [8 1 -2⟩
Size in cents	3.275338¢
Name	Lily comma
Color name	89uu31o1
FJS name	[math]\text{d1}^{31}_{89,89}[/math]
Special properties	reduced
Tenney height (log2 nd)	25.9057
Weil height (log2 max(n, d))	25.9084
Wilson height (sopfr(nd))	225
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.29943 bits
Comma size	unnoticeable
open this interval in xen-calc

7936/7921, a.k.a. the lily comma, is tempered out by the Lylla temperament.

Tempering this comma on its own gives the lily temperament, a rank-2, 2.31.89 subgroup tuning.

Lily

Equal Temperament Mappings
2	31	89	
[ ⟨	21	104	136	]
⟨	23	114	149	] ⟩
 
Reduced Mapping
2	31	89	
[ ⟨	1	4	6	]
⟨	0	2	1	] ⟩
 
TE Generator Tunings (cents)
⟨1199.8978, 572.5654]
 
TE Step Tunings (cents)
⟨29.87046, 24.89644]
 
TE Tuning Map (cents)
⟨1199.898, 5944.722, 7771.952]
 
TE Mistunings (cents)
⟨-0.102, -0.314, 1.072]

These calculations use inharmonic TE. Subgroup TE will not work because the basis is not a subgroup of the rational numbers or has a redundant entry or something else is wrong.
 
Complexity	0.166333
Adjusted Error	0.764933 cents
TE Error	0.118123 cents/octave
 
Unison Vector
[8, 1, -2⟩ (7936:7921)