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:::::: 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 as accidentals in otherwise 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)
:::::: 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 as accidentals in otherwise 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)
:::::: Now, some will undoubtedly ask where this process of coming up with labels for scale steps of differing edos should stop, and I have an answer for that as well.  There is a step-size limit at play in which the step size should be greater than 7 cents.  This is because at a step size of 7 cents, the distance halfway between steps is 3.5 cents, which, from what I'm gathering, is below the average just noticeable difference between pitches.  At step sizes of 7 cents and smaller, the steps will begin to bleed into one another and become indistinguishable from one another to even the best trained ears.  Thus, any edo with a step size of 7 cents or less is ineligible for this kind of extensive process of labeling different interval sizes. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 16:51, 1 September 2020 (UTC)
:::::: Now, some will undoubtedly ask where this process of coming up with labels for scale steps of differing edos should stop, and I have an answer for that as well.  There is a step-size limit at play in which the step size should be greater than 7 cents.  This is because at a step size of 7 cents, the distance halfway between steps is 3.5 cents, which, from what I'm gathering, is below the average just noticeable difference between pitches.  At step sizes of 7 cents and smaller, the steps will begin to bleed into one another and become indistinguishable from one another to even the best trained ears.  Thus, any edo with a step size of 7 cents or less is ineligible for this kind of extensive process of labeling different interval sizes. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 16:51, 1 September 2020 (UTC)
:::::: I can anticipate that some may object that I should draw the line for defining edo steps at something more like 10 cents, but I while concur that an edo step size between 7.5 and 13.5 cents is not viable in the traditional musical sense as a step between consecutive notes, I do notice that it does have a usage as a comma pump, and therefore, it has musical value as an edo step size for purposes of modulation, especially for modulating Jacob-Collier-style between keys. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 17:49, 1 September 2020 (UTC)
:::::: I can anticipate that some may object that I should draw the line for defining edo steps at something more substantial like 13.5 cent, but I while concur that an edo step size between 7.5 and 13.5 cents is not viable in the traditional musical sense as a step between consecutive notes, I do notice that it does have a usage as a comma pump, and therefore, it has musical value as an edo step size for purposes of modulation, especially for modulating Jacob-Collier-style between keys. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 17:49, 1 September 2020 (UTC)