979/972

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Interval information

Ratio	979/972
Subgroup monzo	2.3.11.89 [-2 -5 1 1⟩
Size in cents	12.42306¢
Name	Basement comma
Color name	89o1o1
FJS name	[math]\text{P1}^{11,89}[/math]
Special properties	reduced
Tenney height (log2 nd)	19.86
Weil height (log2 max(n, d))	19.8703
Wilson height (sopfr(nd))	119
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~2.49903 bits
Comma size	small
open this interval in xen-calc

979/972, a.k.a. the basement comma, is tempered out by the Floor temperament.

Tempering this comma on its own gives the basement temperament, a rank-3, 2.3.11.89 subgroup tuning.

Basement

Equal Temperament Mappings
2	3	11	89	
[ ⟨	22	35	76	143	]
⟨	7	11	24	45	]
⟨	17	27	59	110	] ⟩
 
Reduced Mapping
2	3	11	89	
[ ⟨	1	0	0	2	]
⟨	0	1	0	5	]
⟨	0	0	1	-1	] ⟩
 
TE Generator Tunings (cents)
⟨1200.2058, 1903.2477, 4150.0862]
 
TE Step Tunings (cents)
⟨15.86039, 33.10329, 36.44437]
 
TE Tuning Map (cents)
⟨1200.206, 1903.248, 4150.086, 7766.564]
 
TE Mistunings (cents)
⟨0.206, 1.293, -1.232, -4.316]

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	0.038678
Adjusted Error	3.661204 cents
TE Error	0.565373 cents/octave
 
Unison Vector
[-2, -5, 1, 1⟩ (979:972)