Deneb: Difference between revisions

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== Etymology ==
== Etymology ==
It was seemingly first discovered by [[User:CompactStar|CompactStar]] in 2023. The name is most likely just because of the existing theme of several tritave-equivalent temperaments being named after stars.
It was first discovered by [[User:CompactStar|CompactStar]] in 2023. The name is most likely just because of the existing theme of several tritave-equivalent temperaments being named after stars.


== Interval chain (POTE tuning) ==  
== Interval chain (POTE tuning) ==  

Latest revision as of 05:21, 4 October 2026

Todo: rewrite, polish interval chain table

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⟩.

Etymology

It was first discovered by CompactStar in 2023. The name is most likely just because of the existing theme of several tritave-equivalent temperaments being named after stars.

Interval chain (POTE tuning)

Generators up Cents Generators down Cents
0 0.00 0 0.00
1 340.24 1 1561.72
2 680.48 2 1221.48
3 1020.72 3 881.24
4 1360.96 4 541.00
5 1701.20 5 200.76
6 139.48 6 1762.48
7 479.72 7 1422.24
8 819.96 8 1082.00
9 1160.20 9 741.76

Temperament data

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