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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...
::::::::: 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 either "sycophants" or "tyrants".  The fact that I'm one of the relatively few composers who seems to have a half-decent idea as to how to use Locrian mode has 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... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 02:00, 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)
:::::: 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)