600edo: Difference between revisions
→Theory: clarify 600e's significance |
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 600 factors into {{factorization|600}}, 600edo has subset edos {{EDOs| 2, 3, 4, 5, 6, 8, 10, 12, 15, 24, 25, 30, 40, 60, 100, 200, and 300 }}. Since 600 = 6 × 100, one step of 600edo is named a ''centitone'', being a relative cent of [[6edo]], otherwise known as the whole tone scale. In addition, because the step size is 2 cents, it is the smallest edo where every possible interval is tuned within 1 cent of error using direct approximation. | Since 600 factors into {{factorization|600}}, 600edo has subset edos {{EDOs| 2, 3, 4, 5, 6, 8, 10, 12, 15, 24, 25, 30, 40, 60, 100, 200, and 300 }}. Since {{nowrap|600 {{=}} 6 × 100}}, one step of 600edo is named a ''centitone'', being a relative cent of [[6edo]], otherwise known as the whole tone scale. In addition, because the step size is 2 cents, it is the smallest edo where every possible interval is tuned within 1 cent of error using direct approximation. | ||
== Regular temperament properties == | == Regular temperament properties == | ||
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| [[Minutes]] (600e) | | [[Minutes]] (600e) | ||
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<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if | <nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | ||
== Music == | == Music == | ||
; [[Francium]] | ; [[Francium]] | ||
* "So Thankful For You" from ''Abbreviations Gone Wrong'' (2024) | * "So Thankful For You" from ''Abbreviations Gone Wrong'' (2024) – [https://open.spotify.com/track/3pKy6BFu0NuQLlkacXFIPg Spotify] | [https://francium223.bandcamp.com/track/so-thankful-for-you Bandcamp] | [https://www.youtube.com/watch?v=cRHgCe_xdGI YouTube] – tricot in 600edo tuning | ||