128edo: Difference between revisions

No need to remind readers of what a regular temperament is everywhere
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slight cleanup and spacing
 
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{{Infobox ET}}
{{Infobox ET}}
{{ED intro}} It is notable for being the equal division corresponding to a standard [[MIDI]] piano roll of 128 notes.  
{{ED intro}}  
 
It is notable for being the equal division corresponding to a standard [[MIDI]] piano roll of 128 notes - hence the largest equal division representable for the span of one whole [[octave]] on a standard MIDI roll.


== Theory ==
== Theory ==
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|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
|-
! Periods<br />per 8ve
! Periods<br>per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br />ratio*
! Associated<br>ratio*
! Temperaments
! Temperaments
|-
|-
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| 15\128
| 15\128
| 140.625
| 140.625
| 27/25
| 13/12
| [[Fifive]]
| [[Fifive]]
|-
| 4
| 11\128
| 103.125
| 625/588
| [[Undim]] (7-limit)
|-
|-
| 4
| 4
| 15\128
| 15\128
| 140.625
| 140.625
| 27/25
| 13/12
| [[Fourfives]]
| [[Fourfives]]
|-
| 4
| 53\128<br />(11\128)
| 496.875<br />(103.125)
| 4/3
| [[Undim]] (7-limit)
|}
|}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki/>* In [[normal forms #Minimal-generator form|minimal-generator form]]


== Scales ==
== Scales ==
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[[Category:Rodan]]
[[Category:Rodan]]
[[Category:Fifive]]
[[Category:Fourfives]]
[[Category:Fourfives]]