39edo: Difference between revisions
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| Line 24: | Line 24: | ||
! Steps | ! Steps | ||
! Cents | ! Cents | ||
! Approximate | ! Approximate Ratios* | ||
! colspan="3" | [[Ups and | ! colspan="3" | [[Ups and Downs Notation]] | ||
! colspan="3" | [[Nearest just interval]]<br />(Ratio, Cents, Error) | ! colspan="3" | [[Nearest just interval|Nearest Just Interval]]<br />(Ratio, Cents, Error) | ||
|- | |- | ||
| 0 | | 0 | ||
| Line 695: | Line 695: | ||
== Regular temperament properties == | == Regular temperament properties == | ||
{ | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! 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| 62 -39 }} | | {{monzo| 62 -39 }} | ||
| {{mapping| 39 62 }} | | {{mapping| 39 62 }} | ||
| | | -1.81 | ||
| 1.81 | | 1.81 | ||
| 5.88 | | 5.88 | ||
| Line 707: | Line 716: | ||
| 128/125, 1594323/1562500 | | 128/125, 1594323/1562500 | ||
| {{mapping| 39 62 91 }} | | {{mapping| 39 62 91 }} | ||
| | | -3.17 | ||
| 2.42 | | 2.42 | ||
| 7.89 | | 7.89 | ||
| Line 714: | Line 723: | ||
| 64/63, 126/125, 2430/2401 | | 64/63, 126/125, 2430/2401 | ||
| {{mapping| 39 62 91 110 }} (39d) | | {{mapping| 39 62 91 110 }} (39d) | ||
| | | -3.78 | ||
| 2.35 | | 2.35 | ||
| 7.65 | | 7.65 | ||
| Line 721: | Line 730: | ||
| 64/63, 99/98, 121/120, 126/125 | | 64/63, 99/98, 121/120, 126/125 | ||
| {{mapping| 39 62 91 110 135 }} (39d) | | {{mapping| 39 62 91 110 135 }} (39d) | ||
| | | -3.17 | ||
| 2.43 | | 2.43 | ||
| 7.91 | | 7.91 | ||
| Line 727: | Line 736: | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {| class="wikitable center-all right-3 left-4 left-5" | ||
|+ style="font-size: 105%;" | Table of temperaments by generator | |||
|- | |||
! Periods<br />per 8ve | |||
! Generator* | |||
! Cents* | |||
! Temperaments | |||
! MOS Scales | |||
|- | |- | ||
| 1 | | 1 | ||
| Line 842: | Line 858: | ||
| [[Tridecatonic]] | | [[Tridecatonic]] | ||
| [[13L 13s]] | | [[13L 13s]] | ||
|} | |||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | |||
== 39edo and world music == | == 39edo and world music == | ||