the 118edo and 171edo "5th" are indeed both very close to Groven's 1/8-skhisma-tempered 5th. Errata/addenda: You could list Frank Zappa as an advocate of 6-tone. I had a thought, that you could use this as a seed for a NON-equal temperament advocacy page, which you could also maybe link to from the ET one.
Groven 5th 584.7107858 3/2 ratio 584.9550009 Rounded to 3 decimal places, they are respectively.204, 584.759, and 584.963 millioctaves. JI composer, I tried to flush that from my memory. Arrows show the skhismatic equivalences.
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Im not sure if that is just symptomatic of Steve Vais transcriptions or if there were actually any quartertones in Zappas actual orchestral scores. Explanation of Groven's tuning The prime-factorization of the skhisma is 2-153851, which may be expressed in vector form as ; thus, the vector of 1/8-skhisma is -15/8 8/8 1/8, which equates to -15/8 1 1/8. While working on the updates to my Tuning Dictionary "Equal groupon uk london Temperament" page earlier today, i wanted to make sure that my information about Groven was accurate. Below are three graphs, showing Groven's scale as a subset of, respectively, 53-, 118-, and 171edo. And Ill be updating references as my work grows. Ill let you know. 12: 1999 Marc Jones (Renewed advocacy as a crucial temperament.) 13: 1987 Adam Gilligan Death Eating Itself 15: 1992 Marc Jones (Fretboard carved) 1996 (revamped Fr Elise) 16: 2000 Marc Jones (exposition of Beethoven String Quartet. So while 53edo is indeed a good approximation of Groven's skhismatic temperament, it is a still better approximation of Pythagorean tuning. His system is also best viewed as a 24-tone torsional-block based on a 12-tone periodicity-block. /8 1 1/8 1/8- skhisma. I think theres a few others. 1) 26: 1992 Marc Jones (Guitar refretted, generic) 27: 1988 Mike Karaami (vocals) 27: 1990 Marc Jones (Fretboard carved) 1998 Guitar quartet" sketches, used in Mostly Electric String Quartet.