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main_gi | 5 years ago
In addition all these terms are one-indexed because zero was not invented yet, so "unison" in western theory, which refers to two of the same note being played, gets the number 1 (uni-). The same goes for the minor/major second, and so on. This is what causes all the terrible addition problems.
The diatonic scale's strong relevance in music theory is not completely unjustified because almost all consonant (or "good sounding") music is made in it, but it's not very helpful to have to deconvert these terms to any other scale.
I visualize all scales as 12-note equally spaced scales and strongly recommend anyone else to do the same. It's known as the chromatic scale. In this system a unison is just 0, a minor second is 1, major second is 2... and so on. You'll see this system used in "music set theory" https://en.wikipedia.org/wiki/Interval_(music)#Generic_and_s... - look at the semitone number to see the amount of equally-spaced spaces between the notes. Although, the word "semitone" is also a poorly thought out choice due to the diatonic scale (it implies a base unit of "2" instead of "1" since semitone corresponds to 1). Music set theory terminology is much better than western theory IMO, but I think a lot of music set theory buys into too many mathematics-based hypotheses (when it tries to draw equivocations between scales), so I find it has its own issues.
flak48|5 years ago