1789edo: Difference between revisions
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On the patent val in the 7-limit, 1789edo supports 99 & 373 temperament called maviloid. In addition, it also tempers out [[2401/2400]]. | On the patent val in the 7-limit, 1789edo supports 99 & 373 temperament called maviloid. In addition, it also tempers out [[2401/2400]]. | ||
== Table of selected intervals == | == Table of selected intervals == | ||
{| class="wikitable mw-collapsible mw-collapsed" | {| class="wikitable mw-collapsible mw-collapsed" | ||
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† 1046\1789 as 3/2 is the patent val, 1047\1789 as 3/2 is the 1789b val | † 1046\1789 as 3/2 is the patent val, 1047\1789 as 3/2 is the 1789b val | ||
== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" | Subgroup | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br>8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |||
| 2.9 | |||
| {{monzo| -5671 1789 }} | |||
| [{{val| 1789 5671 }}] | |||
| -0.000441 | |||
| 0.000441 | |||
| 0.066 | |||
|- | |||
|2.3<sup>-</sup>.5 | |||
|{{monzo|8 14 -13}}, {{monzo|-223, 129, 8}} | |||
|[{{val|1789 2835 4154}}] | |||
| | |||
| | |||
| | |||
|- | |||
|2.3<sup>+</sup>.5 | |||
|{{monzo|38 -2 -15}}, {{monzo|32 -111 62}} | |||
|[{{val|1789 2836 4154}}] | |||
| | |||
| | |||
| | |||
|- | |||
|2.3<sup>-</sup>.5.7 | |||
|[[2401/2400]], [8, 14, -13, 0⟩, [-56, 26, 10, -3⟩ | |||
|[{{val|1789 2835 4154 5022}}] | |||
|0.068957 | |||
|0.090989 | |||
| | |||
|- | |||
|2.3<sup>+</sup>.5.7 | |||
|[8, -20, 9, 1⟩, [16, -9, -8, 6⟩, [-22, -7, 7, 6⟩ | |||
|[{{val|1789 2836 4154 5022}}] | |||
| -0.036850 | |||
|0.108915 | |||
| | |||
|- | |||
| 2.5.11.13.29.31 | |||
| 6656/6655, 387283/387200, 2640704/2640625, 3455881/3455756, 594880000/594823321 | |||
| [{{val|1789 4154 6189 6620 8691 8863}}] | |||
| -0.003 | |||
| 0.013 | |||
| 1.9 | |||
|} | |||
== Scales == | == Scales == | ||