3079edo: Difference between revisions
Jump to navigation
Jump to search
+music |
ArrowHead294 (talk | contribs) mNo edit summary |
||
| Line 13: | Line 13: | ||
== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list|Comma List]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve Stretch (¢) | ! rowspan="2" | Optimal<br />8ve Stretch (¢) | ||
! colspan="2" | Tuning Error | ! colspan="2" | Tuning Error | ||
|- | |- | ||
| Line 46: | Line 47: | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | |- | ||
! Periods<br />per 8ve | |||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br>Ratio* | ! Associated<br />Ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 59: | Line 61: | ||
| [[Counterschismic]] | | [[Counterschismic]] | ||
|} | |} | ||
{{orf}} | |||
== Music == | == Music == | ||
; [[Francium]] | ; [[Francium]] | ||
* "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 | * "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 00:57, 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
| Subgroup | Comma List | Mapping | Optimal 8ve Stretch (¢) |
Tuning Error | |
|---|---|---|---|---|---|
| Absolute (¢) | Relative (%) | ||||
| 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 |
Rank-2 temperaments
| Periods per 8ve |
Generator* | Cents* | Associated Ratio* |
Temperaments |
|---|---|---|---|---|
| 1 | 1278\3079 | 498.084 | 4/3 | Counterschismic |