Delta centauri

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Delta centauri
Subgroups 3.5.11
Comma basis 1953125/1948617
Reduced mapping ⟨1; 1 9]
ET join b28 & b71
Generators (CWE) ~5/3 = 883.9 ¢
MOS scales n/a
Ploidacot mono5cleft
Minimax error -throdd-limit:  ¢
Target scale size -throdd-limit: notes

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>


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 1/1
1 5/3
2 25/9
3 125/81
4 625/343
5
6
7
8
9 11/9
10
11
12
13
14
15

* In 3.5.11 CWE tuning

References