87edo: Difference between revisions

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Approximation to JI: -zeta peak index
 
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=== Interval mappings ===
=== Interval mappings ===
{{Q-odd-limit intervals|87}}
{{Q-odd-limit intervals|87}}
=== Zeta peak index ===
{{ZPI
| zpi = 483
| steps = 87.0139255957575
| step size = 13.7908960178956
| tempered height = 8.869041
| pure height = 8.714232
| integral = 1.439474
| gap = 18.061741
| octave = 1199.80795355692
| consistent = 16
| distinct = 14
}}


== Regular temperament properties ==
== Regular temperament properties ==
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87 can serve as a mos in these:
87 can serve as a mos in these:


* [[Avicenna (temperament)|Avicenna]] ([[Breed|87 & 270]]) {{multival| 24 -9 -66 12 27 … }}
* [[Avicenna (temperament)|Avicenna]] ([[Breed|87 & 270]])  
* [[Breed|87 & 494]] {{multival| 51 -1 -133 11 32 … }}
* [[Breed|87 & 494]]  


== Scales ==
== Scales ==
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== Instruments ==
== Instruments ==
* [[Lumatone mapping for 87edo]]
* [[Skip fretting system 87 2 17]]
* [[Skip fretting system 87 2 17]]


== Music ==
== Music ==
; [[Bryan Deister]]
* [https://www.youtube.com/shorts/ecxELXmkYAs ''microtonal improvisation in 87edo''] (2025)
; [[Gene Ward Smith]]
; [[Gene Ward Smith]]
* ''Pianodactyl'' (archived 2010) – [https://soundcloud.com/genewardsmith/pianodactyl SoundCloud] | [http://www.archive.org/details/Pianodactyl detail] | [http://www.archive.org/download/Pianodactyl/pianodactyl.mp3 play] – rodan[26] in 87edo tuning
* ''Pianodactyl'' (archived 2010) – [https://soundcloud.com/genewardsmith/pianodactyl SoundCloud] | [http://www.archive.org/details/Pianodactyl detail] | [http://www.archive.org/download/Pianodactyl/pianodactyl.mp3 play] – rodan[26] in 87edo tuning