Deneb: Difference between revisions

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


== Intervals ==  
=== Interval chains ===
{| class="wikitable"
In the following tables, odd harmonics and subharmonics 1–27 are labeled in '''bold'''.
 
<div style="display: inline-grid; margin-right: 25px;">
 
{| class="wikitable sortable center-1 center-2 right-3"
|-
|-
! Generators up
! #
! Cents
! Cents*
! Generators down
! class="unsortable" | Approximate ratios
! Cents
|-
|-
| 0
| 0
| 0.00
| 0.00
| 0
| [[1/1]]
| 0.00
|-
|-
| 1
| 1
| 340.24
|
| 1
|
| 1561.72
|-
|-
| 2
| 2
| 680.48
|  
| 2
|  
| 1221.48
|-
|-
| 3
| 3
| 1020.72
|
| 3
|
| 881.24
|-
|-
| 4
| 4
| 1360.96
|
| 4
|
| 541.00
|-
|-
| 5
| 5
| 1701.20
|
| 5
|
| 200.76
|-
|-
| 6
| 6
| 139.48
|
| 6
|
| 1762.48
|-
|-
| 7
| 7
| 479.72
|
| 7
|
| 1422.24
|-
|-
| 8
| 8
| 819.96
|
| 8
|
| 1082.00
|-
|-
| 9
| 9
| 1160.20
|
| 9
|
| 741.76
|}
|}
</div>
<div style="display: inline-grid; margin-right: 25px;">
</div>
<nowiki/>* In 3.5.11-subgroup [[CWE tuning]]


[[Category:Deneb| ]] <!-- main article -->
[[Category:Deneb| ]] <!-- main article -->
[[Category:Rank-2 temperaments]]
[[Category:Rank-2 temperaments]]
[[Category:Non-octave temperaments]]
[[Category:Non-octave temperaments]]

Revision as of 23:14, 13 October 2026

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 chains

In the following tables, odd harmonics and subharmonics 1–27 are labeled in bold.

# Cents* Approximate ratios
0 0.00 1/1
1
2
3
4
5
6
7
8
9


* In 3.5.11-subgroup CWE tuning