125edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
 
{{EDO intro|125}}
The '''125 equal divisions of the octave''' ('''125edo'''), or the '''125(-tone) equal temperament''' ('''125tet''', '''125et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 125 [[equal]] parts of exactly 9.6 [[cent]]s each. 


== Theory ==
== Theory ==
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=== Prime harmonics ===
=== Prime harmonics ===
{{Primes in edo|125}}
{{Harmonics in equal|125}}


=== Miscellaneous properties ===
=== Miscellaneous properties ===
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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{| class="wikitable center-4 center-5 center-6"
! rowspan="2" | Subgroup
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve stretch (¢)
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! colspan="2" | Tuning error
! colspan="2" | Tuning Error
|-
|-
! [[TE error|Absolute]] (¢)
! [[TE error|Absolute]] (¢)
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{| class="wikitable center-all left-5"
{| class="wikitable center-all left-5"
|+Table of rank-2 temperaments by generator
|+Table of rank-2 temperaments by generator
! Periods<br>per octave
! Periods<br>per 8ve
! Generator<br>(reduced)
! Generator<br>(Reduced)
! Cents<br>(reduced)
! Cents<br>(Reduced)
! Associated<br>ratio
! Associated<br>Ratio
! Temperaments
! Temperaments
|-
|-
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| 115.2
| 115.2
| 77/72
| 77/72
| [[Ragismic_microtemperaments#Semigamera|Semigamera]]
| [[Semigamera]]
|-
|-
| 1
| 1
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| 182.4
| 182.4
| 10/9
| 10/9
| [[Minortone]] / [[mitonic]]
| [[Mitonic]]
|-
|-
| 1
| 1
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| 316.8
| 316.8
| 6/5
| 6/5
| [[Hanson]] / [[catakleismic]]
| [[Catakleismic]]
|-
|-
| 1
| 1
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|}
|}


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Catakleismic]]
[[Category:Catakleismic]]