Deneb: Difference between revisions
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{{ | {{Todo|inline=1|complete page|comment=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 scale]]s of the families {{mos scalesig|1L 4s<3/1>|link=1}}, {{mos scalesig|5L 1s<3/1>|link=1}}, {{mos scalesig|6L 5s<3/1>|link=1}}, and {{mos scalesig|11L 6s<3/1>|link=1}}. | '''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 scale]]s of the families {{mos scalesig|1L 4s<3/1>|link=1}}, {{mos scalesig|5L 1s<3/1>|link=1}}, {{mos scalesig|6L 5s<3/1>|link=1}}, and {{mos scalesig|11L 6s<3/1>|link=1}}. | ||
This temperament was first discovered and named by {{u|CompactStar}} in 2023 after the star {{w|Deneb}}, following a series of non-octave temperaments that are named after stars. | |||
== | For technical data, see [[No-twos subgroup temperaments #Deneb]]. | ||
== Intervals == | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
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| 741.76 | | 741.76 | ||
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[[Category:Deneb| ]] <!-- main article --> | [[Category:Deneb| ]] <!-- main article --> | ||
[[Category:Rank-2 temperaments]] | [[Category:Rank-2 temperaments]] | ||
[[Category:Non-octave temperaments]] | [[Category:Non-octave temperaments]] | ||
Latest revision as of 17:59, 7 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.
Intervals
| 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 |