1063edo: Difference between revisions
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {{comma basis begin}} | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| Line 50: | Line 41: | ||
| 0.0937 | | 0.0937 | ||
| 8.30 | | 8.30 | ||
{{comma basis end}} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {{rank-2 begin}} | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 73: | Line 57: | ||
| 6/5 | | 6/5 | ||
| [[Counterhanson]] | | [[Counterhanson]] | ||
{{rank-2 end}} | |||
{{orf}} | {{orf}} | ||
== Music == | == Music == | ||
; [[Francium]] | ; [[Francium]] | ||
* " | * "Interlude" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/5jf2rJgqeFTYNmbZgopI3e Spotify] | [https://francium223.bandcamp.com/track/interlude Bandcamp] | [https://www.youtube.com/watch?v=oKVRo72Jhzg YouTube] | ||
* ''1063'' (2024) | * ''1063'' (2024) – [https://open.spotify.com/album/2J338pHEIYcB5GBDCCbChg Spotify] | [https://francium223.bandcamp.com/album/1063 Bandcamp] | [https://www.youtube.com/playlist?list=PLLZE7hMjEXRbvsZ972acZMd-RZ097Zb4a YouTube] – 5-piece EP in 1063edo | ||
[[Category:Listen]] | [[Category:Listen]] | ||
Revision as of 01:52, 16 November 2024
| ← 1062edo | 1063edo | 1064edo → |
Theory
1063et tempers out 2401/2400 in the 7-limit; 95703125/95664294, 26214400/26198073, 78675968/78594219, 1953125/1951488, 1879453125/1879048192, 3294225/3294172, 43923/43904, 102487/102400 and 781258401/781250000 in the 11-limit.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.209 | -0.237 | -0.246 | -0.424 | +0.488 | +0.030 | +0.511 | +0.512 | -0.038 | -0.351 |
| Relative (%) | +0.0 | +18.5 | -21.0 | -21.8 | -37.6 | +43.3 | +2.7 | +45.3 | +45.4 | -3.4 | -31.1 | |
| Steps (reduced) |
1063 (0) |
1685 (622) |
2468 (342) |
2984 (858) |
3677 (488) |
3934 (745) |
4345 (93) |
4516 (264) |
4809 (557) |
5164 (912) |
5266 (1014) | |
Subsets and supersets
1063edo is the 179th prime EDO.
Regular temperament properties
Template:Comma basis begin |- | 2.3 | [1685 -1063⟩ | [⟨1063 1685]] | -0.0658 | 0.0658 | 5.83 |- | 2.3.5 | [-20 -24 25⟩, [77 -31 -12⟩ | [⟨1063 1685 2468]] | -0.0099 | 0.0956 | 8.47 |- | 2.3.5.7 | 2401/2400, 3500000000/3486784401, 3367254360064/3363025078125 | [⟨1063 1685 2468 2984]] | +0.0144 | 0.0930 | 8.24 |- | 2.3.5.7.11 | 2401/2400, 19712/19683, 43923/43904, 1953125/1951488 | [⟨1063 1685 2468 2984 3677]] | +0.0361 | 0.0937 | 8.30 Template:Comma basis end
Rank-2 temperaments
Template:Rank-2 begin |- | 1 | 229\1063 | 258.514 | [-32 13 5⟩ | Lafa |- | 1 | 280\1063 | 316.087 | 6/5 | Counterhanson Template:Rank-2 end Template:Orf