Aura (talk | contribs)
No edit summary
Aura (talk | contribs)
No edit summary
Line 4: Line 4:
::: Okay, I like the sound of this so far. I assume you use super/sub and major/minor for 7- & 5-limit intervals respectively, yes? --[[User:CritDeathX|CritDeathX]] ([[User talk:CritDeathX|talk]]) 03:32, 1 September 2020 (UTC)
::: Okay, I like the sound of this so far. I assume you use super/sub and major/minor for 7- & 5-limit intervals respectively, yes? --[[User:CritDeathX|CritDeathX]] ([[User talk:CritDeathX|talk]]) 03:32, 1 September 2020 (UTC)
:::: Yes, I do.  However, this raises the question of what to do for intervals like 256/225, which naturally occurs between the seventh and second scale degrees in the just versions of the Greater Neapolitan and Lesser Neapolitan scales- otherwise known as the Neapolitan Major and Neapolitan Minor scales respectively. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 03:44, 1 September 2020 (UTC)
:::: Yes, I do.  However, this raises the question of what to do for intervals like 256/225, which naturally occurs between the seventh and second scale degrees in the just versions of the Greater Neapolitan and Lesser Neapolitan scales- otherwise known as the Neapolitan Major and Neapolitan Minor scales respectively. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 03:44, 1 September 2020 (UTC)
:::: Okay...  I have an idea...  So, I'm looking at this page [[https://en.xen.wiki/w/SHEFKHED_interval_names]], as well as this page [[https://en.xen.wiki/w/Gallery_of_just_intervals]], and I notice that there's more than one "minor third" and more than one "major third".  The same is true of intervals such as supermajor thirds and subminor thirds- particularly for equal divisions of the octave where the septimal kleisma is not tempered out, such as in 159edo.  With that in mind, I'm thinking we should disambiguate between different intervals in the same general range.  We can build directly off of the SHEFKHED interval naming system for the basics, though with the difference that any Pythagorean interval other than the Perfect Prime, the Perfect Octave, the Perfect Fifth and the Perfect Fourth with an odd limit of 243 or less should gain the explicit label of "Diatonic"- this lends itself to names such as "Diatonic Major Sixth" for 27/16.  Following along this same line of thinking for 5-limit intervals, we can similarly build off of the SHEFKHED interval naming system and explicitly label both 5/4 and 8/5, as well as intervals connected to them by a chain of Perfect Fifths "Diatonic"- assuming the odd limit for said interval is 45 or less.  Among the end results of this are that 5/3 is labeled the "Classic Diatonic Major Sixth".  I'm currently thinking that certain other 5-limit intervals should also gain the label "Classic" such as 25/16 or even 25/24... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 06:58, 1 September 2020 (UTC)