User:BudjarnLambeth/7936/7921: Difference between revisions
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Name
Lily comma
Color name
89uu31o1
mNo edit summary |
m Temper info |
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{{novelty}} | {{novelty}} | ||
{{Infobox Interval | {{Infobox Interval | ||
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| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''7936/7921''', a.k.a. the '''lily comma''', is tempered out by the [[Batch_89_temperaments#Lylla|Lylla]] temperament. | |||
Tempering this comma ''on its own'' gives the lily temperament, a 2.31.89 [[subgroup]] tuning. | |||
== Lily == | |||
<pre> | |||
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) | |||
</pre> | |||
[[Category:Commas named after fictional characters]] | [[Category:Commas named after fictional characters]] | ||
Revision as of 22:43, 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 |
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 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)