506edo: Difference between revisions
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Created page with "{{Infobox ET}} {{EDO intro|506}} 506edo is a strong 5-limit system, correcting 253edo's mapping for 5. It tunes a number of strong 5-limit temperaments like vishnu, [..." |
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{{EDO intro|506}} | {{EDO intro|506}} | ||
506edo is a strong 5-limit system, correcting [[253edo]]'s mapping for 5. It tunes a number of strong 5-limit temperaments like [[vishnu]], [[monzismic]], and [[lafa]]. It also tunes [[stockhausenic]] and [[geb]] temperaments. | 506edo is a strong 5-limit system, correcting [[253edo]]'s mapping for 5. It tunes a number of strong 5-limit temperaments like [[vishnu]], [[monzismic]], and [[lafa]]. It also tunes [[stockhausenic]] and [[geb]] temperaments. 506e val tempers out the [[swetisma]] and tunes [[hades]]. | ||
506edo tempers out the [[Major Arcana]] comma, tempering out which divides the octave in 22 parts, and it is the only patent val supporting the 7-limit extension of this temperament, though 506edo's 7th harmonic is with a large error. It also tunes the [[palladium]] temperament in the 5-limit. | 506edo tempers out the [[Major Arcana]] comma, tempering out which divides the octave in 22 parts, and it is the only patent val supporting the 7-limit extension of this temperament, though 506edo's 7th harmonic is with a large error. It also tunes the [[palladium]] temperament in the 5-limit. | ||
Revision as of 14:31, 28 August 2023
| ← 505edo | 506edo | 507edo → |
506edo is a strong 5-limit system, correcting 253edo's mapping for 5. It tunes a number of strong 5-limit temperaments like vishnu, monzismic, and lafa. It also tunes stockhausenic and geb temperaments. 506e val tempers out the swetisma and tunes hades.
506edo tempers out the Major Arcana comma, tempering out which divides the octave in 22 parts, and it is the only patent val supporting the 7-limit extension of this temperament, though 506edo's 7th harmonic is with a large error. It also tunes the palladium temperament in the 5-limit.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.02 | +0.25 | +1.13 | -1.12 | -1.00 | -0.61 | -1.07 | +0.18 | -0.33 | +0.42 |
| Relative (%) | +0.0 | +0.9 | +10.4 | +47.8 | -47.2 | -42.2 | -25.6 | -45.1 | +7.8 | -13.8 | +17.7 | |
| Steps (reduced) |
506 (0) |
802 (296) |
1175 (163) |
1421 (409) |
1750 (232) |
1872 (354) |
2068 (44) |
2149 (125) |
2289 (265) |
2458 (434) |
2507 (483) | |
Subsets and supersets
1012edo, which is a zeta edo, provides correction for the 13-limit.