137edo: Difference between revisions

ArrowHead294 (talk | contribs)
mNo edit summary
 
(3 intermediate revisions by the same user not shown)
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|137}}
{{ED intro}}


== Theory ==
== Theory ==
Line 13: Line 13:
== 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|Comma List]]
! rowspan="2" | [[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]] (¢)
! [[TE simple badness|Relative]] (%)
! [[TE simple badness|Relative]] (%)
Line 25: Line 26:
| {{monzo| -217 137 }}
| {{monzo| -217 137 }}
| {{mapping| 137 217 }}
| {{mapping| 137 217 }}
| 0.3865
| +0.3865
| 0.3866
| 0.3866
| 4.41
| 4.41
Line 32: Line 33:
| {{monzo| -21 3 7 }}, {{monzo| -13 17 -6 }}
| {{monzo| -21 3 7 }}, {{monzo| -13 17 -6 }}
| {{mapping| 137 217 318 }}
| {{mapping| 137 217 318 }}
| 0.3887
| +0.3887
| 0.3157
| 0.3157
| 3.60
| 3.60
Line 39: Line 40:
=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{| class="wikitable center-all left-5"
|+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
|-
|-
Line 88: Line 90:
| [[Emka]] (137d) / [[emkay]] (137)
| [[Emka]] (137d) / [[emkay]] (137)
|}
|}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct


== Diagrams ==
== Diagrams ==