506edo
| ← 505edo | 506edo | 507edo → |
506 equal divisions of the octave (506edo), or 506-tone equal temperament (506tet), 506 equal temperament (506et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 506 equal parts of about 2.37 ¢ each.
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 | +1 | +10 | +48 | -47 | -42 | -26 | -45 | +8 | -14 | +18 | |
| 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.