User:Eufalesio/12edo detemperament sequences: Difference between revisions
Added image and 19-limit |
Notation images! |
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== 13-limit == | == 13-limit == | ||
Finding 13-limit 12edo detemperaments is harder, because 12edo notably does a horrible job of approximating primes 11 and 13, which means we have another vals to consider; which is to say, we don't take the direct approximation of some primes, but the next best. Here are 3 vals that I found to be worth of mention. | Finding 13-limit 12edo detemperaments is harder, because 12edo notably does a horrible job of approximating primes 11 and 13, which means we have another vals to consider; which is to say, we don't take the direct approximation of some primes, but the next best. Here are 3 vals that I found to be worth of mention. | ||
[[File:12detempSequence.png|center|thumb| | [[File:12detempSequence.png|center|thumb|940x940px|Summary of the 12edo paths I took my time to analyze. For the unnamed ones, I won't be the one to name them.]] | ||
=== 12e === | === 12e === | ||
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=== 12de === | === 12de === | ||
This is one sequence I haven't explored too much beyond the 19-limit, as results were inconclusive. 17 is very easy to reach in srutal, equated with 16/15. 19-limit? Not that good, and not that extendable. Donar has an accurate but unusable extension to the 19-limit, requiring a jaw dropping +24 half-valinorsmas to reach qualities of 17/16 and 19/16. I don't deem it easily extendable beyond this. | This is one sequence I haven't explored too much beyond the 19-limit, as results were inconclusive. 17 is very easy to reach in srutal, equated with 16/15. 19-limit? Not that good, and not that extendable. Donar has an accurate but unusable extension to the 19-limit, requiring a jaw dropping +24 half-valinorsmas to reach qualities of 17/16 and 19/16. I don't deem it easily extendable beyond this. | ||
== Notation == | |||
Notation and temperament are parts of the same coin RTT-wise, and since the temperaments are different, the notations are different. Here are the notations for 12e and 12f (12de not designed): | |||
[[File:ULTRAOLYMPIANsymbolset.jpg|center|thumb|940x940px|The notation for the Ultimate and ULTRAOLYMPIC sequence, as I call them... see here [[User:Eufalesio/Ultimate#Nomenclature and notation|here]] for more info about this specific notation.]] | |||
[[File:12fSymbolSet.jpg|center|thumb|940x940px|See what I was referring to when I said that 19/16 is extremely painful? Goodness! Looks like [https://lostinthecloudblog.com/2010/03/13/john-stump-composer-of-faeries-aire-and-death-waltz/ Fairie's Aire and Death Waltz]!]] | |||