Delta centauri

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, 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	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
1	1018.054	9/5
2	134.153	27/25
3	1152.207	243/125
4	268.306	729/625
5	1286.36
6
7
8
9		27/11
10
11
12
13
14
15		125/121

* In 3.5.11 CWE tuning