User:BudjarnLambeth/979/972: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
BudjarnLambeth (talk | contribs)
mNo edit summary
BudjarnLambeth (talk | contribs)
m Temper data
Line 1: Line 1:
{{novelty}}
{{novelty}}
'''979/972''', a.k.a. the '''basement comma''', is tempered out by the [[Batch_89_temperaments#Floor|Floor]] temperament.
Tempering this comma ''on its own'' gives the basement temperament, a 2.3.11.89 [[subgroup]] tuning.


{{Infobox Interval
{{Infobox Interval
Line 10: Line 6:
| Comma = yes
| Comma = yes
}}
}}
'''979/972''', a.k.a. the '''basement comma''', is tempered out by the [[Batch_89_temperaments#Floor|Floor]] temperament.
Tempering this comma ''on its own'' gives the basement temperament, a [[rank-3]], 2.3.11.89 [[subgroup]] tuning.
== Basement ==
<pre>
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]
Complexity 0.038678
Adjusted Error 3.661204 cents
TE Error 0.565373 cents/octave
Unison Vector
[-2, -5, 1, 1⟩ (979:972)
</pre>


[[Category:Commas named after fictional characters]]
[[Category:Commas named after fictional characters]]

Revision as of 22:59, 14 December 2024

This page presents a novelty topic.

It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex.

Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

Interval information
Name Basement comma
Color name 89o1o1

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]

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