User talk:Aura: Difference between revisions

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:: I'm glad to see that someone has noticed what I'm doing! For the record, I do have distinct names for intervals like 11/8 and 16/11. I call the 11/8 interval the "paramajor fourth" and the 16/11 interval the "paraminor fifth" in part as a reference to this [https://en.wikipedia.org/wiki/Major_fourth_and_minor_fifth]. Similarly, I call 128/99 the "paraminor fourth" and 99/64 the "paramajor fifth". For the record, I do use "parasuper" and "parasub" as prefixes not only for the alteration of perfect primes and perfect octaves by 33/32, but also for the augmentation of major intervals and the dimunition of minor intervals by 33/32. Because the dimunition of a major interval by 33/32 does not result in the same interval as does the augmentation of a minor interval by 33/32, especially in those equal divisions of the octave where 243/242 is not tempered out, I use the term "greater neutral" to refer to dimunition of a major interval by 33/32, and the term "lesser neutral" to refer to the augmentation of a minor interval by 33/32. Do note that I use the Pythagorian chain of fifths as a base. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 02:51, 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)

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 :: I'm glad to see that someone has noticed what I'm doing!  For the record, I do have distinct names for intervals like 11/8 and 16/11.  I call the 11/8 interval the "paramajor fourth" and the 16/11 interval the "paraminor fifth" in part as a reference to this [https://en.wikipedia.org/wiki/Major_fourth_and_minor_fifth].  Similarly, I call 128/99 the "paraminor fourth" and 99/64 the "paramajor fifth".  For the record, I do use "parasuper" and "parasub" as prefixes not only for the alteration of perfect primes and perfect octaves by 33/32, but also for the augmentation of major intervals and the dimunition of minor intervals by 33/32.  Because the dimunition of a major interval by 33/32 does not result in the same interval as does the augmentation of a minor interval by 33/32, especially in those equal divisions of the octave where 243/242 is not tempered out, I use the term "greater neutral" to refer to dimunition of a major interval by 33/32, and the term "lesser neutral" to refer to the augmentation of a minor interval by 33/32.  Do note that I use the Pythagorian chain of fifths as a base. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 02:51, 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)