417edo: 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
| 2.3
| {{monzo|661 -417}}
| {{monzo|661 -417}}
| {{mapping|417 661}}
| {{mapping|417 661}}
| -0.0641
| &minus;0.0641
| 0.0641
| 0.0641
| 2.23
| 2.23
Line 40: Line 31:
| 16875/16807, 65625/65536, 1600000/1594323
| 16875/16807, 65625/65536, 1600000/1594323
| {{mapping|417 661 968 1171}}
| {{mapping|417 661 968 1171}}
| -0.0418
| &minus;0.0418
| 0.2331
| 0.2331
| 8.10
| 8.10
Line 47: Line 38:
| 540/539, 3025/3024, 496125/495616, 7168000/7144929
| 540/539, 3025/3024, 496125/495616, 7168000/7144929
| {{mapping|417 661 968 1171 1443}}
| {{mapping|417 661 968 1171 1443}}
| -0.1029
| &minus;0.1029
| 0.2416
| 0.2416
| 8.40
| 8.40
|}
{{comma basis end}}


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{{rank-2 begin}}
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
! Periods<br />per 8ve
! Generator<br />(reduced)*
! Cents<br />(reduced)*
! Associated<br />Ratio*
! Temperaments
|-
|-
| 1
| 1
Line 85: Line 69:
| 16/15
| 16/15
| [[Tertiosec]]
| [[Tertiosec]]
|}
{{rank-2 end}}
{{orf}}
{{orf}}