1789edo: Difference between revisions
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For its elaborate xenharmonicity, 1789edo has an essentially perfect [[9/8]], a very common interval. The associated comma is [5671 -3578⟩. | For its elaborate xenharmonicity, 1789edo has an essentially perfect [[9/8]], a very common interval. The associated comma is [5671 -3578⟩. | ||
== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" |Subgroup | |||
! rowspan="2" |[[Comma list]] | |||
! rowspan="2" |[[Mapping]] | |||
! rowspan="2" | Optimal | |||
8ve stretch (¢) | |||
! colspan="2" |Tuning error | |||
|- | |||
![[TE error|Absolute]] (¢) | |||
![[TE simple badness|Relative]] (%) | |||
|- | |||
|2.3 | |||
|{{monzo| -2835 1789 }} | |||
|[{{val|1789 2835}}] | |||
|0.105 | |||
|0.105 | |||
|15.7 | |||
|- | |||
|2.3 | |||
|{{monzo| -2836 1789 }} | |||
|[{{val|1789 2836}}] | |||
|0.106 | |||
|0.106 | |||
|15.8 | |||
|- | |||
|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 | |||
|} | |||
== Tempered commas == | == Tempered commas == | ||
{| class="wikitable" | {| class="wikitable" | ||