User:BudjarnLambeth/8277/8192: Difference between revisions
Documented recently named comma |
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{{novelty}} | |||
{{editable user page|Do not remove anything, but feel free to add stuff (e.g. music, instruments, modes, subsets, tables, diagrams, any other observations.)}} | |||
{{Infobox Interval | {{Infobox Interval | ||
| Name = | | Name = Lilly pilly comma | ||
| Ratio = 8277/8192 | |||
| Color name = 89o31o-2 | |||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''8277/8192''', a.k.a. the '''lilly pilly comma''', is tempered out by the [[Batch 89 temperaments#Lylla|Lylla]] temperament. | |||
Tempering this comma ''on its own'' gives the lilly pilly temperament, a [[rank-3]], 2.3.31.89 [[subgroup]] tuning. | |||
== Lilly pilly == | |||
<pre> | |||
Equal Temperament Mappings | |||
2 3 31 89 | |||
[ ⟨ 24 38 119 155 ] | |||
⟨ 17 27 84 110 ] | |||
⟨ 19 30 94 123 ] ⟩ | |||
Reduced Mapping | |||
2 3 31 89 | |||
[ ⟨ 1 0 0 13 ] | |||
⟨ 0 1 0 -1 ] | |||
⟨ 0 0 1 -1 ] ⟩ | |||
TE Generator Tunings (cents) | |||
⟨1200.9762, 1901.7664, 5943.1926] | |||
TE Step Tunings (cents) | |||
⟨15.53945, 24.39904, 21.74978] | |||
TE Tuning Map (cents) | |||
⟨1200.976, 1901.766, 5943.193, 7767.731] | |||
TE Mistunings (cents) | |||
⟨0.976, -0.189, -1.843, -3.149] | |||
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 0.037924 | |||
Adjusted Error 3.750764 cents | |||
TE Error 0.579203 cents/octave | |||
Unison Vector | |||
[-13, 1, 1, 1⟩ (8277:8192) | |||
</pre> | |||
[[Category:Commas named after mythology or literature]] | |||