User talk:SAKryukov: Difference between revisions

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::::::::: I must admit, with my wanna-be-''rational'' approach I don't recognize well any concrete ''rational'' numbers by just looking at them :-) Well, unless numerator and denominator are very small numbers and the interval itself is well-known. :-) So, to understand something, I really need to calculate things, to draw and to listen to some sample structure — all of it at the same time. I already thought that I came close to the stage where I'll need to get myself another instrument, some toy which would visualize and, importantly, vocalize some sequences and chords. Only this way I can approach the understanding of the functions. Such an instrument could be very useful to many other people...

:::::::::: Ah. I do know that some of the functions of certain ''rational'' intervals- namely tritones- are determined where they fall in relation to the ''irrational'' half-octave interval. This is how I separate the Antitonic intervals into "sycophants" and "tyrants". The fact that I'm one of the relatively few composers who seems to have worked rather extensively with Locrian mode (to where I now have a half-decent idea as to how to use it) has undoubtedly shaped my perceptions of tritones in particular... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 02:00, 25 November 2020 (UTC)

:::::::::: Ah. I do know that some of the functions of certain ''rational'' intervals- namely tritones- are determined where they fall in relation to the ''irrational'' half-octave interval. This is how I separate the Antitonic intervals into "sycophants" and "tyrants". The fact that I'm one of the relatively few composers who seems to have worked rather extensively with Locrian mode (to where I now have a half-decent idea as to how to use it) has undoubtedly shaped my perceptions of tritones in particular... From there, I was able to draw on the fact that both 11/8 and 16/11 have relatively small numerators and denominators (as expected of the early members of the harmonic series and subharmonic series), yet, at the same time seem to have high harmonic entropy like most tritones. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 02:10, 25 November 2020 (UTC)

:::::: For the record, if you're interested in advancing your research on Just Intonation, you might want to check out what I'm doing for [[Alpharabian tuning]]. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:45, 24 November 2020 (UTC)

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 ::::::::: I must admit, with my wanna-be-''rational'' approach I don't recognize well any concrete ''rational'' numbers by just looking at them :-) Well, unless numerator and denominator are very small numbers and the interval itself is well-known. :-) So, to understand something, I really need to calculate things, to draw and to listen to some sample structure &mdash; all of it at the same time. I already thought that I came close to the stage where I'll need to get myself another instrument, some toy which would visualize and, importantly, vocalize some sequences and chords. Only this way I can approach the understanding of the functions. Such an instrument could be very useful to many other people...
-:::::::::: Ah.  I do know that some of the functions of certain ''rational'' intervals- namely tritones- are determined where they fall in relation to the ''irrational'' half-octave interval.  This is how I separate the Antitonic intervals into "sycophants" and "tyrants".  The fact that I'm one of the relatively few composers who seems to have worked rather extensively with Locrian mode (to where I now have a half-decent idea as to how to use it) has undoubtedly shaped my perceptions of tritones in particular... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 02:00, 25 November 2020 (UTC)
+:::::::::: Ah.  I do know that some of the functions of certain ''rational'' intervals- namely tritones- are determined where they fall in relation to the ''irrational'' half-octave interval.  This is how I separate the Antitonic intervals into "sycophants" and "tyrants".  The fact that I'm one of the relatively few composers who seems to have worked rather extensively with Locrian mode (to where I now have a half-decent idea as to how to use it) has undoubtedly shaped my perceptions of tritones in particular...  From there, I was able to draw on the fact that both 11/8 and 16/11 have relatively small numerators and denominators (as expected of the early members of the harmonic series and subharmonic series), yet, at the same time seem to have high harmonic entropy like most tritones. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 02:10, 25 November 2020 (UTC)
 :::::: For the record, if you're interested in advancing your research on Just Intonation, you might want to check out what I'm doing for [[Alpharabian tuning]]. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:45, 24 November 2020 (UTC)