472edo: Difference between revisions

Cleanup; clarify the title row of the rank-2 temp table; -redundant categories
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"
Tags: Mobile edit Mobile web edit
 
(4 intermediate revisions by one other user not shown)
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|472}}
{{ED intro}}


== Theory ==
== Theory ==
Line 15: Line 15:
== 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]] (¢)
Line 41: Line 42:
| 729/728, 1575/1573, 2200/2197, 2401/2400, 4096/4095
| 729/728, 1575/1573, 2200/2197, 2401/2400, 4096/4095
| [{{val| 472 748 1096 1325 1633 1747 }}]
| [{{val| 472 748 1096 1325 1633 1747 }}]
| -0.0341
| −0.0341
| 0.1365
| 0.1365
| 5.37
| 5.37
Line 50: Line 51:


{| 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 82: Line 84:
|-
|-
| 8
| 8
| 196\472<br>(19\472)
| 196\472<br />(19\472)
| 498.31<br>(48.31)
| 498.31<br />(48.31)
| 4/3<br>(36/35)
| 4/3<br />(36/35)
| [[Octant]]
| [[Octant]]
|}
|}
<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 forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct