1244edo: Difference between revisions
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Created page with "{{Infobox ET}} {{EDO intro|1244}} == Theory == {{Harmonics in equal|1244|columns=12}} As the quadruple of 311edo, it offers some correction to primes like 17, but just li..." |
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== | As the quadruple of [[311edo]], 1244edo offers some correction to primes like 17, but just like with [[622edo]] its [[consistency|consistency limit]] is drastically reduced when compared to 311edo. | ||
=== Odd harmonics === | |||
{{Harmonics in equal|1244|columns=12}} | {{Harmonics in equal|1244|columns=12}} | ||
{{todo|inline=1|explain its xenharmonic value}} | |||
Latest revision as of 06:58, 20 February 2025
| ← 1243edo | 1244edo | 1245edo → |
1244 equal divisions of the octave (abbreviated 1244edo or 1244ed2), also called 1244-tone equal temperament (1244tet) or 1244 equal temperament (1244et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1244 equal parts of about 0.965 ¢ each. Each step represents a frequency ratio of 21/1244, or the 1244th root of 2.
As the quadruple of 311edo, 1244edo offers some correction to primes like 17, but just like with 622edo its consistency limit is drastically reduced when compared to 311edo.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | 25 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.296 | -0.462 | -0.337 | -0.373 | +0.451 | -0.335 | -0.166 | +0.189 | -0.407 | -0.041 | -0.300 | +0.041 |
| Relative (%) | +30.7 | -47.9 | -35.0 | -38.7 | +46.7 | -34.7 | -17.2 | +19.6 | -42.2 | -4.3 | -31.1 | +4.3 | |
| Steps (reduced) |
1972 (728) |
2888 (400) |
3492 (1004) |
3943 (211) |
4304 (572) |
4603 (871) |
4860 (1128) |
5085 (109) |
5284 (308) |
5464 (488) |
5627 (651) |
5777 (801) | |
|
Todo: explain its xenharmonic value |