292edo: Difference between revisions

Cleanup; +subsets and supersets
ArrowHead294 (talk | contribs)
mNo edit summary
Line 14: Line 14:


== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{{comma basis begin}}
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! colspan="2" | Tuning Error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.3
| 2.3
| {{monzo| 463 -292 }}
| {{monzo| 463 -292 }}
| {{mapping| 292 463 }}
| {{mapping| 292 463 }}
| -0.2476
| &minus;0.2476
| 0.2475
| 0.2475
| 6.02
| 6.02
Line 34: Line 26:
| {{monzo| 3 -18 11 }}, {{monzo| 38 -2 -15 }}
| {{monzo| 3 -18 11 }}, {{monzo| 38 -2 -15 }}
| {{mapping| 292 463 678 }}
| {{mapping| 292 463 678 }}
| -0.1633
| &minus;0.1633
| 0.2346
| 0.2346
| 5.71
| 5.71
Line 41: Line 33:
| 5120/5103, 390625/388962, 420175/419904
| 5120/5103, 390625/388962, 420175/419904
| {{mapping| 292 463 678 820 }}
| {{mapping| 292 463 678 820 }}
| -0.2148
| &minus;0.2148
| 0.2219
| 0.2219
| 5.40
| 5.40
Line 48: Line 40:
| 1375/1372, 5120/5103, 5632/5625, 14641/14580
| 1375/1372, 5120/5103, 5632/5625, 14641/14580
| {{mapping| 292 463 678 820 1010 }}
| {{mapping| 292 463 678 820 1010 }}
| -0.1353
| &minus;0.1353
| 0.2544
| 0.2544
| 6.19
| 6.19
Line 55: Line 47:
| 352/351, 625/624, 847/845, 1716/1715, 14641/14580
| 352/351, 625/624, 847/845, 1716/1715, 14641/14580
| {{mapping| 292 463 678 820 1010 1081 }}
| {{mapping| 292 463 678 820 1010 1081 }}
| -0.3480
| &minus;0.3480
| 0.2736
| 0.2736
| 6.66
| 6.66
Line 62: Line 54:
| 352/351, 625/624, 715/714, 847/845, 1225/1224, 2025/2023
| 352/351, 625/624, 715/714, 847/845, 1225/1224, 2025/2023
| {{mapping| 292 463 678 820 1010 1081 1194 }}
| {{mapping| 292 463 678 820 1010 1081 1194 }}
| -0.2376
| &minus;0.2376
| 0.2696
| 0.2696
| 6.56
| 6.56
Line 68: Line 60:


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{{rank-2 begin}}
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
|-
| 1
| 1
Line 117: Line 103:
| 4/3
| 4/3
| [[Undim]]
| [[Undim]]
|}
{{rank-2 end}}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
{{orf}}


[[Category:Hemifamity]]
[[Category:Hemifamity]]