1789edo: Difference between revisions

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Since the 5/4 of 1789edo is on the 576th step, a highly divisible number, 1789edo can replicate a lot of [[Ed5/4]] temperaments - more exactly those which are divisors of 576, and that includes all from [[2ed5/4]] to [[9ed5/4]], skipping [[7ed5/4]].
Since the 5/4 of 1789edo is on the 576th step, a highly divisible number, 1789edo can replicate a lot of [[Ed5/4]] temperaments - more exactly those which are divisors of 576, and that includes all from [[2ed5/4]] to [[9ed5/4]], skipping [[7ed5/4]].
On the patent val in the 7-limit, 1789edo supports 99 & 373 temperament called maviloid. In addition, it also tempers out [[2401/2400]].


== Regular temperament properties ==
== Regular temperament properties ==
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| 0.000441
| 0.000441
| 0.066
| 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
| 2.5.11.13.29.31