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118edo: Difference between revisions

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== Notation ==
== Notation ==
=== Possible chemical notation ===
=== Chemical notation ===
This notation was proposed by Eliora in November 2021.  
This notation was proposed by Eliora in November 2021.  


Line 1,133: Line 1,133:
| 2.3
| 2.3
| {{monzo| -187 118 }}
| {{monzo| -187 118 }}
| [{{val| 118 187 }}]
| {{mapping| 118 187 }}
| -0.119
| -0.119
| 0.082
| 0.082
Line 1,140: Line 1,140:
| 2.3.5
| 2.3.5
| 32805/32768, {{monzo| 8 14 -13 }}
| 32805/32768, {{monzo| 8 14 -13 }}
| [{{val| 118 187 274 }}]
| {{mapping| 118 187 274 }}
| +0.036
| +0.036
| 0.093
| 0.093
Line 1,147: Line 1,147:
| 2.3.5.7
| 2.3.5.7
| 1029/1024, 3136/3125, 4375/4374
| 1029/1024, 3136/3125, 4375/4374
| [{{val| 118 187 274 331 }}]
| {{mapping| 118 187 274 331 }}
| +0.270
| +0.270
| 0.412
| 0.412
Line 1,154: Line 1,154:
| 2.3.5.7.11
| 2.3.5.7.11
| 385/384, 441/440, 3136/3125, 4375/4374
| 385/384, 441/440, 3136/3125, 4375/4374
| [{{val| 118 187 274 331 408 }}]
| {{mapping| 118 187 274 331 408 }}
| +0.341
| +0.341
| 0.370
| 0.370
| 3.89
| 3.89
|-
|-style="border-top: double;"
| style="border-top: double;" | 2.3.5.7.11.13
| 2.3.5.7.11.13
| style="border-top: double;" | 196/195, 352/351, 384/384, 625/624, 729/728
| 196/195, 352/351, 384/384, 625/624, 729/728
| style="border-top: double;" | [{{val| 118 187 274 331 408 437 }}] (118)
| {{mapping| 118 187 274 331 408 437 }} (118)
| style="border-top: double;" | +0.125
| +0.125
| style="border-top: double;" | 0.604
| 0.604
| style="border-top: double;" | 5.93
| 5.93
|-
|-style="border-top: double;"
| style="border-top: double;" | 2.3.5.7.11.13
| 2.3.5.7.11.13
| style="border-top: double;" | 169/168, 325/324, 364/363, 385/384, 3136/3125
| 169/168, 325/324, 364/363, 385/384, 3136/3125
| style="border-top: double;" | [{{val| 118 187 274 331 408 436 }}] (118f)
| {{mapping| 118 187 274 331 408 436 }} (118f)
| style="border-top: double;" | +0.583
| +0.583
| style="border-top: double;" | 0.650
| 0.650
| style="border-top: double;" | 6.39
| 6.39
|-
|-style="border-top: double;"
| style="border-top: double;" | 2.3.5.7.11.17
| 2.3.5.7.11.17
| style="border-top: double;" | 289/288, 385/384, 441/440, 561/560, 3136/3125
| 289/288, 385/384, 441/440, 561/560, 3136/3125
| style="border-top: double;" | [{{val| 118 187 274 331 408 482 }}]
| {{mapping| 118 187 274 331 408 482 }}
| style="border-top: double;" | +0.417
| +0.417
| style="border-top: double;" | 0.399
| 0.399
| style="border-top: double;" | 3.92
| 3.92
|-
|-
| 2.3.5.7.11.17.19
| 2.3.5.7.11.17.19
| 289/288, 361/360, 385/384, 441/440, 476/475, 513/512, 969/968
| 289/288, 361/360, 385/384, 441/440, 476/475, 513/512, 969/968
| [{{val| 118 187 274 331 408 482 501 }}]
| {{mapping| 118 187 274 331 408 482 501 }}
| +0.445
| +0.445
| 0.376
| 0.376
Line 1,193: Line 1,193:
|+Table of rank-2 temperaments by generator
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Periods<br>per 8ve
! Generator<br>(Reduced)
! Generator*
! Cents<br>(Reduced)
! Cents*
! Associated<br>Ratio
! Associated<br>Ratio*
! Temperaments
! Temperaments
|-
|-
Line 1,288: Line 1,288:
| [[Semiparakleismic]]
| [[Semiparakleismic]]
|}
|}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct


== Music ==
== Music ==
* [https://www.youtube.com/watch?v=eYnSsOnRZIs Pops] by [[Mercury Amalgam]]
; [[Mercury Amalgam]]
* [https://www.youtube.com/watch?v=eYnSsOnRZIs ''Pops''] (2022)


[[Category:Gamelismic]]
[[Category:Gamelismic]]
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