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:::::::::::::: I know that 45/32 can be considered a tritone- albeit one made up of two different types of whole tones, specifically, two instances of 9/8 and one instance of 10/9.  As for 64/45- well, we can say it falls within an unnoticeable comma's distance from 729/512, which is a Pythagorean tritone consisting of three instances of 9/8. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 05:55, 25 November 2020 (UTC)
:::::::::::::: I know that 45/32 can be considered a tritone- albeit one made up of two different types of whole tones, specifically, two instances of 9/8 and one instance of 10/9.  As for 64/45- well, we can say it falls within an unnoticeable comma's distance from 729/512, which is a Pythagorean tritone consisting of three instances of 9/8. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 05:55, 25 November 2020 (UTC)
::::::::::::::: Well thank you, you've answered the question the way I can clearly see the sense of it. But hardly much of practical sense — it only confirms by idea that musicians tend to name things in the most perverted (okay, we sometime call it "convoluted") ways :-). 


:::::::::::::: I don't know about you, but it seems the main basis of labeling intervals ranging from 7/5 to 10/7 as "tritones" has everything to do with either being able to build such intervals with stacks of three whole tones (literal meaning), or, being really close to √2/1 (figurative meaning based on how √2/1 can be made from a stack of three whole tones in 12edo). --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 06:21, 25 November 2020 (UTC)
:::::::::::::: I don't know about you, but it seems the main basis of labeling intervals ranging from 7/5 to 10/7 as "tritones" has everything to do with either being able to build such intervals with stacks of three whole tones (literal meaning), or, being really close to √2/1 (figurative meaning based on how √2/1 can be made from a stack of three whole tones in 12edo). --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 06:21, 25 November 2020 (UTC)