3079edo: Difference between revisions
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {{comma basis begin}} | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| Line 43: | Line 34: | ||
| 0.0223 | | 0.0223 | ||
| 5.72 | | 5.72 | ||
{{comma basis end}} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {{rank-2 begin}} | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 60: | Line 44: | ||
| 4/3 | | 4/3 | ||
| [[Counterschismic]] | | [[Counterschismic]] | ||
{{rank-2 end}} | |||
{{orf}} | {{orf}} | ||
== Music == | == Music == | ||
; [[Francium]] | ; [[Francium]] | ||
* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) | * "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] | [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] | [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilififths[13] in 3079edo tuning | ||
Revision as of 01:38, 16 November 2024
| ← 3078edo | 3079edo | 3080edo → |
Theory
3079edo is consistent to the 9-odd-limit. The equal temperament tempers out 43046721/43025920, 1220703125/1219784832 and [51 -13 -1 -10⟩ in the 7-limit. It supports acrosextilififths.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.039 | -0.084 | +0.060 | +0.160 | +0.135 | -0.116 | -0.144 | -0.018 | +0.108 | +0.012 |
| Relative (%) | +0.0 | -10.0 | -21.7 | +15.4 | +41.0 | +34.6 | -29.8 | -36.9 | -4.7 | +27.7 | +3.0 | |
| Steps (reduced) |
3079 (0) |
4880 (1801) |
7149 (991) |
8644 (2486) |
10652 (1415) |
11394 (2157) |
12585 (269) |
13079 (763) |
13928 (1612) |
14958 (2642) |
15254 (2938) | |
Subsets and supersets
3079edo is the 440th prime edo.
Regular temperament properties
Template:Comma basis begin |- | 2.3 | [-4880 3079⟩ | [⟨3079 4880]] | 0.0122 | 0.0122 | 3.13 |- | 2.3.5 | [-69 45 -1⟩, [-50 -71 70⟩ | [⟨3079 4880 7149]] | 0.0203 | 0.0151 | 3.87 |- | 2.3.5.7 | 43046721/43025920, 1220703125/1219784832, [51 -13 -1 -10⟩ | [⟨3079 4880 7149 8644]] | 0.0099 | 0.0223 | 5.72 Template:Comma basis end
Rank-2 temperaments
Template:Rank-2 begin |- | 1 | 1278\3079 | 498.084 | 4/3 | Counterschismic Template:Rank-2 end Template:Orf