2444edo: Difference between revisions
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{{EDO intro|2444}} | |||
==Theory== | |||
2444edo is an excellent 2.5.7.11.13.19 subgroup tuning. | |||
In the 13-limit, 2444edo tempers out [[6656/6655]] and in light of having 52 as a divisor, it is a tuning for the [[french deck]] temperament. | |||
===Harmonics=== | |||
{{harmonics in equal|2444}} | |||
== Regular temperament properties == | |||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all left-5" | |||
!Periods<br>per 8ve | |||
! Generator<br>(Reduced) | |||
! Cents<br>(Reduced) | |||
! Associated<br>Ratio | |||
! Temperaments | |||
|- | |||
| 52 | |||
| 804\2444<br>(5\2444) | |||
| 394.73662<br>(2.455) | |||
| 134560000/107132311<br>(?) | |||
| [[French deck]] | |||
|} | |||
Revision as of 14:17, 29 January 2023
| ← 2443edo | 2444edo | 2445edo → |
Theory
2444edo is an excellent 2.5.7.11.13.19 subgroup tuning.
In the 13-limit, 2444edo tempers out 6656/6655 and in light of having 52 as a divisor, it is a tuning for the french deck temperament.
Harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.173 | +0.102 | -0.086 | -0.146 | +0.073 | +0.062 | -0.216 | +0.118 | +0.032 | +0.087 | +0.204 |
| Relative (%) | +35.2 | +20.8 | -17.5 | -29.7 | +14.9 | +12.5 | -44.1 | +24.1 | +6.5 | +17.6 | +41.5 | |
| Steps (reduced) |
3874 (1430) |
5675 (787) |
6861 (1973) |
7747 (415) |
8455 (1123) |
9044 (1712) |
9548 (2216) |
9990 (214) |
10382 (606) |
10735 (959) |
11056 (1280) | |
Regular temperament properties
Rank-2 temperaments
| Periods per 8ve |
Generator (Reduced) |
Cents (Reduced) |
Associated Ratio |
Temperaments |
|---|---|---|---|---|
| 52 | 804\2444 (5\2444) |
394.73662 (2.455) |
134560000/107132311 (?) |
French deck |