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::::: Hello and thx for contributing your ideas! This topic is of my interest and I actually opened a conversation on our FB group on how we may call most 5-limit intervals. To summarize, some would use "pental" for 5-limit intervals, some others would default to simplest ratios in the group and add definitives when needed, but the solution most convincing to me is to call any Pythagorean intervals "Pythagorean" and any 5-limit intervals "classic" (sometimes "grave/acute" for high-odd-limit intervals), though to distinguish 25/24 from 135/128 this needs further disambiguation. I'd also refrain from a meantone-centrist view, where "aug" and "dim" are sometimes abused e.g. "aug sixth" for 7/4, which is only true in meantone. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 08:24, 1 September 2020 (UTC)
::::: Hello and thx for contributing your ideas! This topic is of my interest and I actually opened a conversation on our FB group on how we may call most 5-limit intervals. To summarize, some would use "pental" for 5-limit intervals, some others would default to simplest ratios in the group and add definitives when needed, but the solution most convincing to me is to call any Pythagorean intervals "Pythagorean" and any 5-limit intervals "classic" (sometimes "grave/acute" for high-odd-limit intervals), though to distinguish 25/24 from 135/128 this needs further disambiguation. I'd also refrain from a meantone-centrist view, where "aug" and "dim" are sometimes abused e.g. "aug sixth" for 7/4, which is only true in meantone. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 08:24, 1 September 2020 (UTC)
:::::: For the record, I'm doing this with 159edo in mind, and this is not a meantone temperament as the syntonic comma is not tempered out.  I'm not keen on using too many numeric descriptors like "pental" or "septimal" or even "undecimal" for this particular idea, as at the end of the day, my goal is to build off of the SHEFKHED interval naming system for EDOs up to 160edo.  I should also point out that not all Pythagorean intervals are Diatonic intervals- only those with an odd limit of 243 or less, therefore, I'm thinking that "Diatonic" is the label that ought to be privileged over "Pythagorean".  On a semi-related note, my preferred major scale consists of the intervals 1/1, 9/8, 5/4, 4/3, 3/2, 27/16, 15/8, and 2/1, and I do in fact build directly off of this scale for my diatonic chords- yes, the grave fifth occurs between the sixth and the third, and for me, this serves to amplify the diatonic functions of the VIm chord, as this kind of tuning says "we're not done yet", especially in deceptive cadences. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 15:39, 1 September 2020 (UTC)
:::::: For the record, I'm doing this with 159edo in mind, and this is not a meantone temperament as the syntonic comma is not tempered out.  I'm not keen on using too many numeric descriptors like "pental" or "septimal" or even "undecimal" for this particular idea, as at the end of the day, my goal is to build off of the SHEFKHED interval naming system for EDOs up to 160edo.  I should also point out that not all Pythagorean intervals are Diatonic intervals- only those with an odd limit of 243 or less, therefore, I'm thinking that "Diatonic" is the label that ought to be privileged over "Pythagorean".  On a semi-related note, my preferred major scale consists of the intervals 1/1, 9/8, 5/4, 4/3, 3/2, 27/16, 15/8, and 2/1, and I do in fact build directly off of this scale for my diatonic chords- yes, the grave fifth occurs between the sixth and the third, and for me, this serves to amplify the diatonic functions of the VIm chord, as this kind of tuning says "we're not done yet", especially in deceptive cadences. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 15:39, 1 September 2020 (UTC)
:::::: While I'm on this whole topic of Diatonic intervals, I should mention that I prefer the notes of all my scales to connect directly to the tonic by means of the intervals between the tonic and the other notes in the scale having a power of two in the numerator and or the denominator- that said, I still recognize that 6/5 doesn't meet this criteria when this interval occurs between the I and the IIIm scale degrees, and thus, my preferred minor scale consists of the intervals 1/1, 9/8, 77/64, 4/3, 3/2, 8/5, 16/9, and 2/1.  It is for this reason- along with the fact that the 7-limit finds frequent use among barbershop quartets and the like in otherwise fairly diatonic keys- that I would classify 11/8 and 7/4 as "paradiatonic" intervals. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 16:09, 1 September 2020 (UTC)
:::::: While I'm on this whole topic of Diatonic intervals, I should mention that I prefer the notes of all my scales to connect directly to the tonic by means of the intervals between the tonic and the other notes in the scale having a power of two in the numerator and or the denominator- that said, I still recognize that 6/5 doesn't meet this criteria when this interval occurs between the I and the IIIm scale degrees, and thus, my preferred minor scale consists of the intervals 1/1, 9/8, 77/64, 4/3, 3/2, 8/5, 16/9, and 2/1.  It is for this reason- along with the fact that the 7-limit finds frequent use among barbershop quartets and the like in otherwise fairly diatonic keys- that I would classify 11/8, 16/11, 7/4, and 8/7 as "paradiatonic" intervals. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 16:09, 1 September 2020 (UTC)