Author: brycon
Date: 2021-11-16 19:27
Quote:
In Just Tuning, the intervals are chosen to be mathematically equal to the overtone series.
It was my understanding that just intonation involves ratiotically pure intervals above or below a given tonic pitch (e.g. a perfect fifth, with a ration of 3:2, would yield an E=660 above an A=440). I believe that the overtone series has in-tune octaves (2:1) but other pitches of varying degrees of in-tuneness. For this reason, spectral music, which makes use of the overtone series, requires players to approximate the series using microtones.
Quote:
I just commented on a terrible YouTube video that was a disaster of misinformation about music theory, history, and equal temperament. Temperaments are primarily a solution to the problem of how to tune a keyboard. The problem is that is if you tune it to sound great in one key, it's sounds bad in other keys. They're all compromises.
Yes, I believe many temperaments are solutions to tuning keyboard instruments (which was why I was confused about the OP's question!). But I wouldn't say that meantone temperaments aren't good. I think that many baroque specialists, for instance, still use Valotti, which is a combination of 1/6 comma meantone and Pythagorean. At any rate, the result of some keys ringing more purely and others more pungently must have been used by composers to great effect.
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