673edo: Difference between revisions
Jump to navigation
Jump to search
ArrowHead294 (talk | contribs) mNo edit summary |
ArrowHead294 (talk | contribs) mNo edit summary |
||
| Line 12: | Line 12: | ||
== Regular temperament properties == | == Regular temperament properties == | ||
{ | {{comma basis begin}} | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| Line 36: | Line 27: | ||
| 0.1521 | | 0.1521 | ||
| 8.53 | | 8.53 | ||
{{comma basis end}} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {{rank-2 begin}} | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 53: | Line 37: | ||
| 16875/16384 | | 16875/16384 | ||
| [[Escapade]] | | [[Escapade]] | ||
{{rank-2 end}} | |||
{{orf}} | {{orf}} | ||
Revision as of 01:36, 16 November 2024
| ← 672edo | 673edo | 674edo → |
Theory
673edo is consistent to the 5-odd-limit. Using the 2.3.5.17.19.41 subgroup, it tempers out 4624/4617, 131072/130815, 53136/53125, 10584064/10546875 and 19178125/19131876.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.571 | +0.611 | -0.624 | -0.641 | -0.352 | -0.706 | -0.602 | +0.245 | +0.258 | -0.053 | -0.637 |
| Relative (%) | +32.0 | +34.2 | -35.0 | -36.0 | -19.7 | -39.6 | -33.7 | +13.8 | +14.5 | -3.0 | -35.7 | |
| Steps (reduced) |
1067 (394) |
1563 (217) |
1889 (543) |
2133 (114) |
2328 (309) |
2490 (471) |
2629 (610) |
2751 (59) |
2859 (167) |
2956 (264) |
3044 (352) | |
Subsets and supersets
673edo is the 122nd prime EDO. 2019edo, which triples it, gives a good correction to the 7-limit alongside primes 13 and 23.
Regular temperament properties
Template:Comma basis begin |- | 2.3 | [1067 -673⟩ | [⟨673 1067]] | -0.1801 | 0.1801 | 10.10 |- | 2.3.5 | [32 -7 -9⟩, [19 -53 28⟩ | [⟨673 1067 1563]] | -0.2077 | 0.1521 | 8.53 Template:Comma basis end
Rank-2 temperaments
Template:Rank-2 begin |- | 1 | 31\673 | 55.275 | 16875/16384 | Escapade Template:Rank-2 end Template:Orf