User talk:Godtone: Difference between revisions

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:::: Well, I can indeed hear 16/15's power of two with just the two notes involved- particularly when the notes are set up high. I've done the experiments with Audacity using nearly pure tones, and 16/15 is the interval that strikes me as being the most natural for a leading tone in either direction. It may be true that I do compromise the seriousness of JI in some respects when it comes to those smaller commas, but the largest comma I'm comfortable with intentionally and directly tempering out for sure (outside of the 12edo-based systems that I'm actually quite familiar with) is the keenanisma, which is only about 4.503 cents, and even then, that is situational. When it comes to commas regarding fifths, I'd have to say Mercator's comma- which is about 3.615 cents wide- is the best, as it's the smallest 3-limit comma that can be tempered out for an EDO while still ending up with a reasonable step size. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 22:34, 20 December 2020 (UTC)

:::: Excuse me, I think see what you mean about 16/15 being good for stepping downwards- that is, you're talking about the difference between your Tonic and the note a semitone below it. When I was talking about 16/15's power of two, I was thinking of just such an arrangement. I understand why you might prefer 17/16 in particular for the interval between the Tonic and the note located a Semitone above it, however, I have to admit that I'm not just limited to the most common ideas for diatonic modes, or even Bass-Up tonality. I also work with both Locrian mode Treble-Down tonality. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 02:44, 21 December 2020 (UTC)

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	:::: Well, I can indeed hear 16/15's power of two with just the two notes involved- particularly when the notes are set up high. I've done the experiments with Audacity using nearly pure tones, and 16/15 is the interval that strikes me as being the most natural for a leading tone in either direction. It may be true that I do compromise the seriousness of JI in some respects when it comes to those smaller commas, but the largest comma I'm comfortable with intentionally and directly tempering out for sure (outside of the 12edo-based systems that I'm actually quite familiar with) is the keenanisma, which is only about 4.503 cents, and even then, that is situational. When it comes to commas regarding fifths, I'd have to say Mercator's comma- which is about 3.615 cents wide- is the best, as it's the smallest 3-limit comma that can be tempered out for an EDO while still ending up with a reasonable step size. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 22:34, 20 December 2020 (UTC)		:::: Well, I can indeed hear 16/15's power of two with just the two notes involved- particularly when the notes are set up high. I've done the experiments with Audacity using nearly pure tones, and 16/15 is the interval that strikes me as being the most natural for a leading tone in either direction. It may be true that I do compromise the seriousness of JI in some respects when it comes to those smaller commas, but the largest comma I'm comfortable with intentionally and directly tempering out for sure (outside of the 12edo-based systems that I'm actually quite familiar with) is the keenanisma, which is only about 4.503 cents, and even then, that is situational. When it comes to commas regarding fifths, I'd have to say Mercator's comma- which is about 3.615 cents wide- is the best, as it's the smallest 3-limit comma that can be tempered out for an EDO while still ending up with a reasonable step size. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 22:34, 20 December 2020 (UTC)

			:::: Excuse me, I think see what you mean about 16/15 being good for stepping downwards- that is, you're talking about the difference between your Tonic and the note a semitone below it. When I was talking about 16/15's power of two, I was thinking of just such an arrangement. I understand why you might prefer 17/16 in particular for the interval between the Tonic and the note located a Semitone above it, however, I have to admit that I'm not just limited to the most common ideas for diatonic modes, or even Bass-Up tonality. I also work with both Locrian mode Treble-Down tonality. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 02:44, 21 December 2020 (UTC)