Septimal Canright: Difference between revisions
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'''Septimal Canright''' is a [[7-limit]] [[just intonation]] scale used by [[David Canright]] in his piano canon for seven hands and mentioned by him in a 1985 article from the <i>Journal of the Just Intonation Network</i>. It was independently discovered by multiple people and has been known about since 1985 or earlier. | [[File:Septimal_Canwright.png|thumb|Circle diagram.]] '''Septimal Canright''' is a [[7-limit]] [[just intonation]] scale used by [[David Canright]] in his [https://archive.org/details/cd_fibbonacci-suite-for-retuned-piano-7-hands_david-canright piano canon for seven hands] and mentioned by him [https://sites.google.com/site/davidrcanright/music-articles/on-piano-retuning in a 1985 article] from the <i>Journal of the Just Intonation Network</i>. It was independently discovered by multiple people and has been known about since 1985 or earlier. It consists of three chains of four 3/2's, the second separated from the first by 5/4 and the third by 14/9, which means that 9 out of 12 notes have a perfect fifth above them and 8 have either a classical major third or a [[56/45|marvelous]] one. This gives it individual steps of 28/27 243/224 28/27 15/14 16/15 135/128 16/15 28/27 15/14 21/20 15/14 16/15, with 6 different step sizes and a ratio between the largest and smallest step of 2.24:1. | ||
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Latest revision as of 13:37, 11 October 2025
Septimal Canright is a 7-limit just intonation scale used by David Canright in his piano canon for seven hands and mentioned by him in a 1985 article from the Journal of the Just Intonation Network. It was independently discovered by multiple people and has been known about since 1985 or earlier. It consists of three chains of four 3/2's, the second separated from the first by 5/4 and the third by 14/9, which means that 9 out of 12 notes have a perfect fifth above them and 8 have either a classical major third or a marvelous one. This gives it individual steps of 28/27 243/224 28/27 15/14 16/15 135/128 16/15 28/27 15/14 21/20 15/14 16/15, with 6 different step sizes and a ratio between the largest and smallest step of 2.24:1.
! septimal_canright.scl ! Septimal Canright Scale, 7-limit just intonation 12 ! 28/27 9/8 7/6 5/4 4/3 45/32 3/2 14/9 5/3 7/4 15/8 2/1