96edo: Difference between revisions

21st century: Add Anne Veinberg's ''Short impro on the 96 tone Carrillo piano'' (2014)
Subsets and supersets: Doubling fixes 7th harmonic.
 
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 96 factors into {{factorization|96}}, 96edo has subset edos {{EDOs| 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48 }}.
Since 96 factors into {{factorization|96}}, 96edo has subset edos {{EDOs| 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48 }}. [[192edo]], which doubles it, corrects the 7th harmonic to near-just.


== Intervals ==
== Intervals ==
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== Approximation to JI ==
== Approximation to JI ==
{{Q-odd-limit intervals}}
{{Q-odd-limit intervals}}
=== Zeta peak index ===
{{ZPI
| zpi = 546
| steps = 95.9543940692998
| step size = 12.5059410946136
| tempered height = 7.327322
| pure height = 5.721357
| integral = 1.045052
| gap = 15.480737
| octave = 1200.57034508290
| consistent = 6
| distinct = 6
}}


== Regular temperament properties ==
== Regular temperament properties ==
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| 362.5
| 362.5
| 16/13
| 16/13
| [[Submajor (temperament)|Submajor]] / [[interpental]] (96)
| [[Buzzardsmic clan #Demibuzzard|Demibuzzard]] / [[interpental]] (96)
|-
|-
| 1
| 1
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== Instruments ==
== Instruments ==
The piano manufacturer [https://www.sauter-pianos.de/en Sauter] produces an acoustic piano tuned in 96edo:
[https://www.sauter-pianos.de/en/microtone Sauter 1/16 Tone piano]
; Lumatone
; Lumatone
* [[Lumatone mapping for 96edo]]
* [[Lumatone mapping for 96edo]]
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=== 21st century ===
=== 21st century ===
; Various composers (Alain Bancquart, Ernst Helmuth Flammer, Werner Grimmel, Marin Imholz, Marc Kilchenmann, Bernfried E. G. Pröve, Franck Christoph Yeznikian, Sylvaine Billier, Dominik Blum, Martine Joste)
* [https://www.discogs.com/sell/release/17561818 The Carillo 1/16-Tone Piano.] (2003)


; [[Bryan Deister]]
; [[Bryan Deister]]