2016edo: Difference between revisions

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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<br>8ve Stretch (¢)
! colspan="2" | Tuning Error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.3.5
| 2.3.5
Line 50: Line 42:
| 0.066
| 0.066
| 11.1
| 11.1
|-
|- style="border-top: double;"
| style="border-top: double;" | 2.3.5.7
| 2.3.5.7
| style="border-top: double;" | 5250987/5242880, 40353607/40310784, {{monzo| 14 11 -22 7 }}
| 5250987/5242880, 40353607/40310784, {{monzo| 14 11 -22 7 }}
| style="border-top: double;" | {{mapping| 2016 3195 4681 5659 }} (2016d)
| {{mapping| 2016 3195 4681 5659 }} (2016d)
| style="border-top: double;" | 0.060
| 0.060
| style="border-top: double;" | 0.060
| 0.060
| style="border-top: double;" | 10.1
| 10.1
|-
|- style="border-top: double;"
| style="border-top: double;" | 2.3.5.11
| 2.3.5.11
| style="border-top: double;" | {{monzo| 14  8 -10 -1 }}, {{monzo| -26 15 -5  4 }}, {{monzo| -29 27 3 -6 }}
| {{monzo| 14  8 -10 -1 }}, {{monzo| -26 15 -5  4 }}, {{monzo| -29 27 3 -6 }}
| style="border-top: double;" | {{mapping| 2016 3195 4681 6974}}
| {{mapping| 2016 3195 4681 6974}}
| style="border-top: double;" | 0.036
| 0.036
| style="border-top: double;" | 0.043
| 0.043
| style="border-top: double;" | 7.3
| 7.3
|-
|-
| 2.3.5.11.13
| 2.3.5.11.13
Line 78: Line 70:
| 0.036
| 0.036
| 6.2
| 6.2
|-
|- style="border-top: double;"
| style="border-top: double;" | 2.5.11.13.19.41.47
| 2.5.11.13.19.41.47
| style="border-top: double;" | 7943/7942, 322465/322373, 415292/415207, 511225/511024, 5078491/5078125, 22151168/22150865
| 7943/7942, 322465/322373, 415292/415207, 511225/511024, 5078491/5078125, 22151168/22150865
| style="border-top: double;" | {{mapping| 2016 4681 6974 7460 8564 10801 11198 }}
| {{mapping| 2016 4681 6974 7460 8564 10801 11198 }}
| style="border-top: double;" | 0.002
| 0.002
| style="border-top: double;" | 0.019
| 0.019
| style="border-top: double;" | 3.2
| 3.2
|}
{{comma basis end}}


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{{rank-2 begin}}
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio
! Temperaments
|-
|-
| 21
| 21
| 983\2016<br>(23\2016)
| 983\2016<br />(23\2016)
| 585.119<br>(13.690)
| 585.119<br />(13.690)
| 91875/65536<br>(126/125)
| 91875/65536<br />(126/125)
| [[Akjayland]]
| [[Akjayland]]
|-
|-
| 24
| 24
| 979\2016<br>(55\2016)
| 979\2016<br />(55\2016)
| 582.738<br>(32.738)
| 582.738<br />(32.738)
| 7/5<br>(?)
| 7/5<br />(?)
| [[Chromium]]
| [[Chromium]]
|-
|-
Line 114: Line 101:
|-
|-
| 72
| 72
| 925\2016<br>(1\2016)
| 925\2016<br />(1\2016)
| 550.595<br>(0.595)
| 550.595<br />(0.595)
| 73205/53248<br>(?)
| 73205/53248<br />(?)
| [[Jamala]]
| [[Jamala]]
|}
{{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}}


== Music ==
== Music ==