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.
| Delta centauri |
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>
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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