316edo: Difference between revisions

+commas and misc. cleanup
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== 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 8ve <br>Stretch (¢)
! colspan="2" | Tuning Error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.3
| 2.3
| {{monzo| 501 -316 }}
| {{monzo| 501 -316 }}
| {{mapping| 316 501 }}
| {{mapping| 316 501 }}
| -0.182
| &minus;0.182
| 0.182
| 0.182
| 4.79
| 4.79
Line 34: Line 26:
| {{monzo| 8 14 -13 }}, {{monzo| 41 -20 -4 }}
| {{monzo| 8 14 -13 }}, {{monzo| 41 -20 -4 }}
| {{mapping| 316 501 734 }}
| {{mapping| 316 501 734 }}
| -0.269
| &minus;0.269
| 0.193
| 0.193
| 5.08
| 5.08
Line 41: Line 33:
| 3136/3125, 4375/4374, {{monzo| -26 -1 1 9 }}
| 3136/3125, 4375/4374, {{monzo| -26 -1 1 9 }}
| {{mapping| 316 501 734 887 }}
| {{mapping| 316 501 734 887 }}
| -0.160
| &minus;0.160
| 0.252
| 0.252
| 6.64
| 6.64
Line 48: Line 40:
| 3025/3024, 3136/3125, 4375/4374, 131072/130977
| 3025/3024, 3136/3125, 4375/4374, 131072/130977
| {{mapping| 316 501 734 887 1093 }}
| {{mapping| 316 501 734 887 1093 }}
| -0.088
| &minus;0.088
| 0.267
| 0.267
| 7.04
| 7.04
Line 55: Line 47:
| 1716/1715, 2080/2079, 2197/2187, 3025/3024, 3136/3125
| 1716/1715, 2080/2079, 2197/2187, 3025/3024, 3136/3125
| {{mapping| 316 501 734 887 1093 1169 }}
| {{mapping| 316 501 734 887 1093 1169 }}
| -0.016
| &minus;0.016
| 0.293
| 0.293
| 7.72
| 7.72
|}
{{comma basis end}}


=== 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
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|-
|-
| 2
| 2
| 83\316<br>(75\316)
| 83\316<br />(75\316)
| 315.19<br>(284.81)
| 315.19<br />(284.81)
| 6/5<br>(33/28)
| 6/5<br />(33/28)
| [[Semiparakleismic]]
| [[Semiparakleismic]]
|-
|-
| 4
| 4
| 131\316<br>(27\316)
| 131\316<br />(27\316)
| 497.47<br>(102.53)
| 497.47<br />(102.53)
| 4/3<br>(35/33)
| 4/3<br />(35/33)
| [[Unlit]]
| [[Unlit]]
|}
{{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:Parakleismic]]
[[Category:Parakleismic]]
[[Category:Semiparakleismic]]
[[Category:Semiparakleismic]]
[[Category:Triglav]]
[[Category:Triglav]]