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]]. | ||
=== | == Interval chain == | ||
<div style="display: inline-grid; margin-right: 25px;"> | |||
{| class="wikitable sortable center-1 center-2 right-3" | |||
|- | |||
! # | |||
! Cents* | |||
! class="unsortable" | 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]] | |||
|} | |||
</div> | |||
<div style="display: inline-grid; margin-right: 25px;"> | |||
{| class="wikitable sortable center-1 center-2 right-3" | |||
|- | |||
! # | |||
! Cents* | |||
! class="unsortable" | Approximate ratios | |||
|- | |||
| 0 | |||
| 0.000 | |||
| [[1/1]] | |||
|- | |||
| -1 | |||
| | |||
| | |||
|- | |||
| -2 | |||
| | |||
| | |||
|- | |||
| -3 | |||
| | |||
| | |||
|- | |||
| -4 | |||
| | |||
| | |||
|- | |||
| -5 | |||
| | |||
| | |||
|- | |||
| -6 | |||
| | |||
| | |||
|- | |||
| -7 | |||
| | |||
| | |||
|- | |||
| -8 | |||
| | |||
| | |||
|- | |||
| -9 | |||
| | |||
| | |||
|} | |||
</div> | |||
[[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 23:25, 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 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 |