971edo: Difference between revisions

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'''971EDO''' is the [[EDO|equal division of the octave]] into 971 parts of 1.23584 [[cent]]s each. It has a fifth which is only 0.00174 cents sharp. It is the denominator of the first semiconvergent to log<sub>2</sub>(3/2) past 389\665.
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971EDO is the 164th [[prime EDO]].
971edo's fifth is only 0.00174{{c}} sharp of just, as it is the denominator of the first semiconvergent to log<sub>2</sub>(3/2) past 389\665. It is [[consistent]] to the 9-odd-limit, but there is a large relative delta in its approximation to harmonic 5. Skipping the harmonic, it is a good 2.3.7.11.13.17 subgroup system.  


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
=== Prime harmonics ===
[[Category:Prime EDO]]
{{Harmonics in equal|971}}
 
=== Subsets and supersets ===
971edo is the 164th [[prime edo]].
 
== Music ==
; [[Francium]]
* "Todd Bonzalez" from ''Don't Give Your Kids These Names!'' (2025) − [https://open.spotify.com/track/6b3zWRAI12Vn2gwu5kwOML Spotify] | [https://francium223.bandcamp.com/track/todd-bonzalez Bandcamp] | [https://www.youtube.com/watch?v=AfFD4B5LeyM YouTube] − in Alexic, 971edo tuning