417edo: Difference between revisions
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== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
|- | |- | ||
|2.3 | ! rowspan="2" | [[Subgroup]] | ||
|{{monzo|661 -417}} | ! rowspan="2" | [[Comma list|Comma List]] | ||
|{{mapping|417 661}} | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br />8ve Stretch (¢) | |||
! colspan="2" | Tuning Error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |||
| 2.3 | |||
| {{monzo|661 -417}} | |||
| {{mapping|417 661}} | |||
| -0.0641 | | -0.0641 | ||
| 0.0641 | | 0.0641 | ||
| 2.23 | | 2.23 | ||
|- | |- | ||
|2.3.5 | | 2.3.5 | ||
|1600000/1594323, {{monzo|-80 8 29}} | | 1600000/1594323, {{monzo|-80 8 29}} | ||
|{{mapping|417 661 968}} | | {{mapping|417 661 968}} | ||
| +0.0580 | | +0.0580 | ||
| 0.1806 | | 0.1806 | ||
| 6.28 | | 6.28 | ||
|- | |- | ||
|2.3.5.7 | | 2.3.5.7 | ||
|16875/16807, 65625/65536, 1600000/1594323 | | 16875/16807, 65625/65536, 1600000/1594323 | ||
|{{mapping|417 661 968 1171}} | | {{mapping|417 661 968 1171}} | ||
| -0.0418 | | -0.0418 | ||
| 0.2331 | | 0.2331 | ||
| 8.10 | | 8.10 | ||
|- | |- | ||
|2.3.5.7.11 | | 2.3.5.7.11 | ||
|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 | | -0.1029 | ||
| 0.2416 | | 0.2416 | ||
| Line 53: | Line 54: | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | |- | ||
! Generator<br>(reduced)* | ! Periods<br />per 8ve | ||
! Cents<br>(reduced)* | ! Generator<br />(reduced)* | ||
! Associated<br>Ratio* | ! Cents<br />(reduced)* | ||
! Associated<br />Ratio* | |||
! Temperaments | ! Temperaments | ||
|- | |- | ||
|1 | | 1 | ||
|77\417 | | 77\417 | ||
|221.58 | | 221.58 | ||
|8388608/7381125 | | 8388608/7381125 | ||
|[[Fortune]] | | [[Fortune]] | ||
|- | |- | ||
|1 | | 1 | ||
|118\417 | | 118\417 | ||
|339.57 | | 339.57 | ||
|243/200 | | 243/200 | ||
|[[Amity]] | | [[Amity]] | ||
|- | |- | ||
|1 | | 1 | ||
|121\417 | | 121\417 | ||
|348.20 | | 348.20 | ||
|60/49 | | 60/49 | ||
|[[Eris]] | | [[Eris]] | ||
|- | |- | ||
|3 | | 3 | ||
|39\417 | | 39\417 | ||
|112.23 | | 112.23 | ||
|16/15 | | 16/15 | ||
|[[Tertiosec]] | | [[Tertiosec]] | ||
|} | |} | ||
{{orf}} | |||