619edo: Difference between revisions
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {{comma basis begin}} | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| Line 43: | Line 34: | ||
| 0.0925 | | 0.0925 | ||
| 4.77 | | 4.77 | ||
{{comma basis end}} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {{rank-2 begin}} | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 60: | Line 44: | ||
| 4/3 | | 4/3 | ||
| [[Helmholtz]] | | [[Helmholtz]] | ||
{{rank-2 end}} | |||
{{orf}} | {{orf}} | ||
Revision as of 01:38, 16 November 2024
| ← 618edo | 619edo | 620edo → |
Theory
619edo is consistent to the 5-odd-limit. It can be used in the 2.3.5.11.17.19.23.29.41 subgroup, tempering out 2025/2024, 1089/1088, 3520/3519, 1045/1044, 2755/2754, 71875/71808, 374000/373977 and 1025/1024.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.178 | -0.530 | +0.479 | -0.753 | +0.829 | -0.270 | -0.906 | -0.164 | -0.175 | +0.683 |
| Relative (%) | +0.0 | -9.2 | -27.3 | +24.7 | -38.8 | +42.8 | -13.9 | -46.7 | -8.5 | -9.0 | +35.2 | |
| Steps (reduced) |
619 (0) |
981 (362) |
1437 (199) |
1738 (500) |
2141 (284) |
2291 (434) |
2530 (54) |
2629 (153) |
2800 (324) |
3007 (531) |
3067 (591) | |
Subsets and supersets
619edo is the 114th prime EDO.
Regular temperament properties
Template:Comma basis begin |- | 2.3 | [-981 619⟩ | [⟨619 981]] | 0.0561 | 0.0561 | 2.89 |- | 2.3.5 | 32805/32768, [-54 -67 69⟩ | [⟨619 981 1437]] | 0.1135 | 0.0932 | 4.81 |- | 2.3.5.11 | 32805/32768, 234375/234256, 314552734375/313456656384 | [⟨619 981 1437 2141]] | 0.1395 | 0.0925 | 4.77 Template:Comma basis end
Rank-2 temperaments
Template:Rank-2 begin |- | 1 | 257\619 | 498.223 | 4/3 | Helmholtz Template:Rank-2 end Template:Orf