311edo: Difference between revisions
Move Godtone's table and explanation to the Higher-limit JI section. Request creation of a more usable interval table. |
m Add a link to Bilibili since the same video also appeared on there |
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== Intervals == | == Intervals == | ||
See the collapsed table in [[#JI approximation]], or alternatively, see the draft table at [[User:Overthink/Table of 311edo intervals]]. | |||
== Notation == | == Notation == | ||
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=== Higher-limit JI === | === Higher-limit JI === | ||
311edo does not maintain [[monotonicity]] in the 43-odd-limit using either mapping for 43. Therefore it may be best to consider 311edo a temperament of the 41-limit, with sporadic additional primes. | |||
The 41-limit add-73 add-89 add-101 add-109 add-113 123-odd-limit is represented very close to completely [[consistent]]ly, and as aforementioned, the 77-odd-limit subset of that odd-limit is purely consistent, to which a variety of odds can be added that keep pure consistency, but for comprehensiveness and practical use as a temperament approximating the low-to-mid end of the harmonic series, we consider a larger odd-limit than that which seeks to be more complete. | The 41-limit add-73 add-89 add-101 add-109 add-113 123-odd-limit is represented very close to completely [[consistent]]ly, and as aforementioned, the 77-odd-limit subset of that odd-limit is purely consistent, to which a variety of odds can be added that keep pure consistency, but for comprehensiveness and practical use as a temperament approximating the low-to-mid end of the harmonic series, we consider a larger odd-limit than that which seeks to be more complete. | ||
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| '''[[2/1]]''' | | '''[[2/1]]''' | ||
|} | |} | ||
<references group="note" /> | |||
== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
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| 20\311 | | 20\311 | ||
| 77.17 | | 77.17 | ||
| | | 23/22 | ||
| [[Tertiaseptal]] / tertiaseptia | | [[Tertiaseptal]] / tertiaseptia | ||
|- | |- | ||
| Line 1,906: | Line 1,910: | ||
| 21/20 | | 21/20 | ||
| [[Amicable]] / amical / amorous | | [[Amicable]] / amical / amorous | ||
|- | |||
| 1 | |||
| 26\311 | |||
| 100.32 | |||
| 675/637 | |||
| [[Heptacot]] | |||
|- | |- | ||
| 1 | | 1 | ||
| Line 2,121: | Line 2,131: | ||
; [[Tee Teck Wei]] | ; [[Tee Teck Wei]] | ||
* [https://www.youtube.com/watch?v=HqShkc6Fl30 ''Baoyu（𨰻𨰻）''] (2023) – for electric organs tuned in 311edo | * [https://www.youtube.com/watch?v=HqShkc6Fl30 ''Baoyu（𨰻𨰻）''] ([https://www.bilibili.com/video/BV1ph4y1f75h Bilibili video of the same work of him/her for China mainland users who can't access Youtube normally]) (2023) – for electric organs tuned in 311edo | ||
== External links == | == External links == | ||
* [http://tonalsoft.com/enc/g/gene.aspx gene, 311-edo] on [[Tonalsoft Encyclopedia]] | * [http://tonalsoft.com/enc/g/gene.aspx gene, 311-edo] on [[Tonalsoft Encyclopedia]] | ||
== References == | == References == | ||
[[Category:Listen]] | [[Category:Listen]] | ||