Delta centauri
| 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 seemingly first discovered by MisterShafXen in 2025[1], and 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
| Number of generators | Cents* | Approximate ratios |
|---|---|---|
| 0 | 0.00 | 1/1 |
| 1 | 883.901 | 5/3 |
| 2 | 1767.802 | 25/9 |
| 3 | 749.748 | 125/81 |
| 4 | 1633.649 | 625/343 |
| 5 | 615.595 | 891/625, 3125/2187 |
| 6 | 1499.496 | 297/125 |
| 7 | 481.442 | 33/25 |
| 8 | 1365.343 | 11/5 |
| 9 | 347.289 | 11/9 |
| 10 | 1231.190 | 55/27 |
| 11 | 213.136 | 275/243 |
| 12 | 1097.037 | 1375/729 |
| 13 | 78.983 | 3267/3125, 6875/6561 |
| 14 | 962.884 | 1089/625 |
| 15 | 1846.785 | 363/125 |
| Number of generators | Cents* | Approximate ratios |
|---|---|---|
| 0 | 0.00 | 1/1 |
| 9/5 | ||
| 2 | 27/25 | |
| 3 | ||
| 4 | ||
| 5 | ||
| 6 | ||
| 7 | ||
| 8 | ||
| 9 | 27/11 | |
| 10 | ||
| 11 | 213.136 | |
| 12 | ||
| 13 | ||
| 14 | ||
| 15 | 125/121 |
* In 3.5.11 CWE tuning