506edo: Difference between revisions
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that's not the case as i've documented a new 7-limit extension |
Note the OPV for stockhausenic |
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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. The 506e [[val]] [[tempering out|tempers out]] the [[swetisma]] and tunes [[hades]]. | 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, providing the [[optimal patent val]] for 11- and 17-limit stockhausenic. The 506e [[val]] [[tempering out|tempers out]] the [[swetisma]] and tunes [[hades]]. | ||
506edo tempers out the [[major arcana]] comma, tempering out which divides the octave in 22 parts. 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. It also tunes the [[palladium]] temperament in the 5-limit. | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 506 factors into {{factorization|506}}, 506edo has subset edos {{EDOs| 2, 11, 22, 23, 46, and 253 }}. [[1012edo]], which is a [[zeta edo]], provides correction for the 13-limit. | Since 506 factors into {{factorization|506}}, 506edo has subset edos {{EDOs| 2, 11, 22, 23, 46, and 253 }}. [[1012edo]], which is a [[zeta edo]], provides correction for the 13-limit. | ||
[[Category:Stockhausenic]] | |||
Revision as of 10:02, 21 February 2024
| ← 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, providing the optimal patent val for 11- and 17-limit stockhausenic. The 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. 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
Since 506 factors into 2 × 11 × 23, 506edo has subset edos 2, 11, 22, 23, 46, and 253. 1012edo, which is a zeta edo, provides correction for the 13-limit.