Delta centauri: Difference between revisions
CompactStar (talk | contribs) No edit summary |
CompactStar (talk | contribs) Added placeholder interval chain (copied from bug page) |
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{{Todo|inline=1|complete page|comment= Document the technical data in [[No-twos subgroup temperaments]]. Complete the infobox. Make the intervals and tunings section. }} | {{Todo|inline=1|complete page|comment= Document the technical data in [[No-twos subgroup temperaments]]. Complete the infobox. Make the intervals and tunings section. }} | ||
== Interval chain == | |||
<div><div style="display: inline-grid; margin-right: 25px;"> | |||
{| class="wikitable" | |||
|- | |||
! # | |||
! Cents* | |||
! Approximate ratios | |||
|- | |||
| 0 | |||
| 0.0 | |||
| '''1/1''' | |||
|- | |||
| 1 | |||
| 940.7 | |||
| 5/3, '''7/4''', 12/7, 9/5 | |||
|- | |||
| 2 | |||
| 681.4 | |||
| '''3/2''', 10/7 | |||
|- | |||
| 3 | |||
| 422.1 | |||
| '''5/4''', 9/7 | |||
|- | |||
| 4 | |||
| 162.8 | |||
| '''9/8''' | |||
|- | |||
| 5 | |||
| 1103.5 | |||
| 15/8 | |||
|} | |||
{| class="wikitable" | |||
|- | |||
! # | |||
! Cents* | |||
! Approximate ratios | |||
|- | |||
| 0 | |||
| 0.0 | |||
| '''1/1''' | |||
|- | |||
| 1 | |||
| 940.7 | |||
| 5/3, '''7/4''', 12/7, 9/5 | |||
|- | |||
| 2 | |||
| 681.4 | |||
| '''3/2''', 10/7 | |||
|- | |||
| 3 | |||
| 422.1 | |||
| '''5/4''', 9/7 | |||
|- | |||
| 4 | |||
| 162.8 | |||
| '''9/8''' | |||
|- | |||
| 5 | |||
| 1103.5 | |||
| 15/8 | |||
|} | |||
</div> | |||
<nowiki/>* In 7-limit CTE tuning, octave reduced | |||
<nowiki/>* In 2.3.7-subgroup [[CWE tuning]] | |||
[[Category:Delta centauri| ]] <!-- main article --> | [[Category:Delta centauri| ]] <!-- main article --> | ||
[[Category:Rank-2 temperaments]] | [[Category:Rank-2 temperaments]] | ||
[[Category:Non-octave temperaments]] | [[Category:Non-octave temperaments]] | ||
Revision as of 20:09, 8 October 2026
| Delta centauri |
Delta centauri is the non-octave temperament of the 3.5.11 subgroup that tempers out the 4-cent comma, 1953125/1948617. This temperament is generated by an almost-just 5/3 and stacking it nine times and tritave-reducing reaches the representation of 11/9. Basically it is a slightly-tempered 3.5 subgroup. The best tuning is to flatten 5/3 by around half a cent, though just 5/3 or slightly sharp 5/3 will work fine too. It is a microtemperament with sub-cent error on the 5th and 11th harmonics in optimal tunings, and fairly low complexity as far as microtemperaments go.
This temperament was named by CompactStar in 2026 after the star Delta Centauri, following a series of non-octave temperaments that are named after stars, and as a reference to the 4-cent comma (delta being the 4th letter of the Greek alphabet).
Scales
The same small MOS scales as the 3.5 subgroup are produced: 2L 1s<3/1>, 2L 3s<3/1>, 2L 5s<3/1>, 2L 7s<3/1>, 2L 9s<3/1>, 2L 11s<3/1>, 13L 2s<3/1>, 15L 13s<3/1>, 28L 15s<3/1>
|
Todo: complete page
Document the technical data in No-twos subgroup temperaments. Complete the infobox. Make the intervals and tunings section. |
Interval chain
| # | Cents* | Approximate ratios |
|---|---|---|
| 0 | 0.0 | 1/1 |
| 1 | 940.7 | 5/3, 7/4, 12/7, 9/5 |
| 2 | 681.4 | 3/2, 10/7 |
| 3 | 422.1 | 5/4, 9/7 |
| 4 | 162.8 | 9/8 |
| 5 | 1103.5 | 15/8 |
| # | Cents* | Approximate ratios |
|---|---|---|
| 0 | 0.0 | 1/1 |
| 1 | 940.7 | 5/3, 7/4, 12/7, 9/5 |
| 2 | 681.4 | 3/2, 10/7 |
| 3 | 422.1 | 5/4, 9/7 |
| 4 | 162.8 | 9/8 |
| 5 | 1103.5 | 15/8 |
* In 7-limit CTE tuning, octave reduced * In 2.3.7-subgroup CWE tuning