8000/7921

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Interval information

Ratio	8000/7921
Subgroup monzo	2.5.89 [6 3 -2⟩
Size in cents	17.18091¢
Name	Incisor comma
Color name	89uuy31
FJS name	[math]\text{P1}^{5,5,5}_{89,89}[/math]
Special properties	reduced
Tenney height (log2 nd)	25.9173
Weil height (log2 max(n, d))	25.9316
Wilson height (sopfr(nd))	205
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~3.34125 bits
Comma size	small
open this interval in xen-calc

8000/7921, a.k.a. the incisor comma, is tempered out by the Teefs temperament.

Tempering this comma on its own gives the incisor temperament, a rank-2, 2.5.89 subgroup tuning.

Incisor

Equal Temperament Mappings
2	5	89	
[ ⟨	1	2	6	]
⟨	3	7	20	] ⟩
 
Reduced Mapping
2	5	89	
[ ⟨	1	2	6	]
⟨	0	1	2	] ⟩
 
TE Generator Tunings (cents)
⟨1194.0223, 366.0414]
 
TE Step Tunings (cents)
⟨95.89814, 366.04140]
 
TE Tuning Map (cents)
⟨1194.022, 2754.086, 7896.217]
 
TE Mistunings (cents)
⟨-5.978, -32.228, 125.337]

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	0.182135
Adjusted Error	91.808421 cents
TE Error	14.177301 cents/octave
 
Unison Vector
[2, 2, -1⟩ (100:89)