34edo: Difference between revisions

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In the 5-limit, 34edo [[support]]s [[hanson]], [[srutal]], [[tetracot]], [[würschmidt]], and [[vishnu]] temperaments. It does less well in the [[7-limit]], with two mappings possible for [[7/4]]: a flat one from the [[patent val]], and a sharp one from the 34d val. By way of the patent val 34 supports [[keemun]] temperament, and 34d is an excellent alternative to [[22edo]] for 7-limit [[pajara]] temperament. In the [[11-limit]], the 34d val supports pajara, vishnu and würschmidt, adding 4375/4374 to the commas of pajara. Among subgroup temperaments, the patent val supports [[semaphore]] on the 2.3.7 subgroup.  
In the 5-limit, 34edo [[support]]s [[hanson]], [[diaschismic]], [[tetracot]], [[würschmidt]], and [[vishnu]] temperaments. It does less well in the [[7-limit]], with two mappings possible for [[7/4]]: a flat one from the [[patent val]], and a sharp one from the 34d val (which is the same as [[17edo]]'s 7/4). By way of the patent val 34 supports [[keemun]] temperament. The two different 7-limit vals allow for different extensions of diaschismic: the patent val supports [[septimal diaschismic]], while 34d supports [[pajara]], being an excellent alternative to [[22edo]] for 7-limit pajara temperament. In the [[11-limit]], the 34d val supports undecimal pajara, vishnu and würschmidt, adding 4375/4374 to the commas of pajara. Among subgroup temperaments, the patent val supports [[semaphore]] on the 2.3.7 subgroup.  


=== Uniform maps ===
=== Uniform maps ===
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=== 21st century ===
=== 21st century ===
; [[Amano Hideya]]
* [https://www.youtube.com/watch?v=wT6v8dlUFWo ''Like refracted light''] (2023)
; [[bili_33093783396]]
; [[bili_33093783396]]
* [https://www.bilibili.com/video/BV1CggPztEEi/ ''A Show of Tetracot Modulation''] (2025)
* [https://www.bilibili.com/video/BV1CggPztEEi/ ''A Show of Tetracot Modulation''] (2025)
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* [https://www.youtube.com/shorts/PDANHoJhs3I ''34edo groove''] (2026)
* [https://www.youtube.com/shorts/PDANHoJhs3I ''34edo groove''] (2026)
* [https://www.youtube.com/watch?v=CY4IlT1UEFs ''groove 34edo''] (2026)
* [https://www.youtube.com/watch?v=CY4IlT1UEFs ''groove 34edo''] (2026)
* [https://www.youtube.com/watch?v=JKblQe375pw ''34edo bossa''] (2026)


; [[E8 Heterotic]]
; [[E8 Heterotic]]
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* [https://youtu.be/SoMEMYpRV4w?si=0COl0PwuPo-eQG8K ''No Threes For You''] (2019)
* [https://youtu.be/SoMEMYpRV4w?si=0COl0PwuPo-eQG8K ''No Threes For You''] (2019)
* [https://youtu.be/_dOIyByMTfU?si=DsWUSQnERSKi0zbu "Elements - Water"] from ''Elements'' (2019–2020)
* [https://youtu.be/_dOIyByMTfU?si=DsWUSQnERSKi0zbu "Elements - Water"] from ''Elements'' (2019–2020)
; [[Zhea Erose]]
* [https://www.youtube.com/watch?v=xYZwye9PWSo ''Modal Studies in Tetracot''] (2021)


; [[Francium]]
; [[Francium]]
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; [[Adam Freese]]
; [[Adam Freese]]
* [https://www.youtube.com/watch?v=lfdHBBPHvLc ''Austice''] (2023)
* [https://www.youtube.com/watch?v=lfdHBBPHvLc ''Austice''] (2023)
; [[Hideya]]
* [https://www.youtube.com/watch?v=wT6v8dlUFWo ''Like refracted light''] (2023)


; [[Peter Kosmorsky]]
; [[Peter Kosmorsky]]
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; [[Claudi Meneghin]]
; [[Claudi Meneghin]]
* [https://www.youtube.com/watch?v=O_7w4KoaOY4 ''Semitone-Canon on The Mother's Malison Theme, for Cor Anglais & Violin''] (2022)
* [https://www.youtube.com/watch?v=O_7w4KoaOY4 ''Semitone-Canon on The Mother's Malison Theme, for Cor Anglais & Violin''] (2022)
; [[Ocean Stegosaurus Tardigrade]]
* [https://www.youtube.com/watch?v=-D1ZjT3H5xM ''4 string instrument test (34ed2)''] (2026)


; [[Ray Perlner]]
; [[Ray Perlner]]
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** "Escapade" – [https://open.spotify.com/track/5An9IJRQSG43gKtLnAUpOY Spotify] | [https://xotla.bandcamp.com/track/escapade Bandcamp] | [https://www.youtube.com/watch?v=3dRQy9hvWaU YouTube] – electronic rock
** "Escapade" – [https://open.spotify.com/track/5An9IJRQSG43gKtLnAUpOY Spotify] | [https://xotla.bandcamp.com/track/escapade Bandcamp] | [https://www.youtube.com/watch?v=3dRQy9hvWaU YouTube] – electronic rock
* [https://www.youtube.com/watch?v=56HuAL1jC8E ''Between Space''] (2022) – ambient sci-fi
* [https://www.youtube.com/watch?v=56HuAL1jC8E ''Between Space''] (2022) – ambient sci-fi
; [[Zhea Erose]]
* [https://www.youtube.com/watch?v=xYZwye9PWSo ''Modal Studies in Tetracot''] (2021)


== See also ==
== See also ==
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== External links ==
== External links ==
* [http://microstick.net/products/34-equal-guitar-by-larry-a-hanson/ 34 Equal Guitar] by [[Larry Hanson]] {{dead link}}
* [https://microstick.net/a-34-equal-guitar-by-larry-a-hanson/ 34 Equal Guitar] by [[Larry Hanson]]
* [https://microstick.net Websites of Neil Haverstick]
* [https://microstick.net Websites of Neil Haverstick]
* [https://myspace.com/microstick] – somehow broken (if you scroll to right, you'll find the songs, playing them, you can't hear anything)
* [https://myspace.com/microstick] – somehow broken (if you scroll to right, you'll find the songs, playing them, you can't hear anything)