Deneb

Todo: complete page Add infobox. Rewrite, polish interval table. Add tunings section.

Deneb is a nonoctave, tritave-repeating rank-2 temperament that tempers out the comma 6655/6561 in the 3.5.11 subgroup. It is generated by a neutral third that represents a flat 11/9, and three generators stacked represent 9/5 (and due to tritave-equivalence, -3 generators stacked represents 5/3). It possesses MOS scales of the families 1L 4s⟨3/1⟩, 5L 1s⟨3/1⟩, 6L 5s⟨3/1⟩, and 11L 6s⟨3/1⟩.

This temperament was first discovered and named by CompactStar in 2023 after the star Deneb, following a series of non-octave temperaments that are named after stars.

For technical data, see No-twos subgroup temperaments #Deneb.

Interval chain

#	Cents*	Approximate ratios
0	0.000	1/1
1	340.052	11/9
2	680.104	81/55, 121/81
3	1020.156	9/5
4	1360.208	11/5
5	1700.260	121/45
6	138.357	27/25
7	478.409	33/25
8	818.461	121/75
9	1158.520	243/125
10	1498.573	297/125

#	Cents*	Approximate ratios
0	0.000	1/1
-1
-2
-3
-4
-5
-6
-7
-8
-9