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3
votes
0answers
33 views

What are the characteristic intervals or scales of 13-limit harmony and beyond?

I've been studying and really getting into the Extended Just Intonation music of composers like Ben Johnston and Kyle Gann. I've started trying to explore the sort of intervals and scales that are ...
2
votes
3answers
115 views

Does good intonation alone really make you “louder”? If yes, why?

I have multiple times heard this claim, from very different sources. There certainly seems to be some correlation between intonation and "loudness", in the sense that ensembles with great harmony ...
4
votes
1answer
137 views

Understanding just intonation, Timidity, and Scala

I'm not a programmer but I am working on a program that manipulates music via MIDI files in all sorts of interesting ways. I want to add the ability to use alternate tunings. I even went so far as to ...
5
votes
5answers
344 views

In Pythagorean tuning, what's the frequency of the tonic of each key?

When playing a fretless instrument (like violin), what frequency should be used to tune beginning of each key? I believe that for A major and A minor, 440Hz is the tonic. What will be the frequency ...
13
votes
1answer
283 views

Should the dominant-seventh chord in just intonation use 9:5 for its seventh, or rather 16:9?

It may be just out of habit, what with the 12-edo temperament all around us, but anyway: I find the dominant-seventh rendition 20:25:30:36 sounds extremely harsh. In particular, the tritone from the ...
25
votes
8answers
7k views

Why Is Just Intonation Impractical?

I've read about the debate of "just intonation" vs 12-tone equal temperament. And nowhere it was clearly stated why just intonation is impractical. Here are my assumptions. Please let me know if I am ...