Delta-N ratio: Difference between revisions
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Re-creating my page because delta-N terminology is not just another way of saying superpartient. It conveys more information and deserves its own page. (Plus, I have a wonderful xen application for delta-N terminology, just haven't had time to write it up yet.) |
m Categorised this uncategorised page |
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Thus [[superparticular]] ratios are delta-1 ratios, and [[Superpartient ratio|superpartient ratios]] are all ratios except delta-1 ratios. The delta-N terminology was coined by [[Kite Giedraitis]]. | Thus [[superparticular]] ratios are delta-1 ratios, and [[Superpartient ratio|superpartient ratios]] are all ratios except delta-1 ratios. The delta-N terminology was coined by [[Kite Giedraitis]]. | ||
[[Category:Just intonation]] | |||
Revision as of 01:07, 26 April 2023
The delta of a ratio is simply the difference between its numerator and its denominator. (Delta is also known as degree of epimoricity.) A ratio with a delta of N is called a delta-N ratio.
| delta-1 ratios | 2/1 | 3/2 | 4/3 | 5/4 | 6/5 | 7/6 | etc. |
|---|---|---|---|---|---|---|---|
| delta-2 ratios | 3/1 | 5/3 | 7/5 | 9/7 | 11/9 | 13/11 | etc. |
| delta-3 ratios | 4/1 | 5/2 | 7/4 | 8/5 | 10/7 | 11/8 | etc. |
| delta-4 ratios | 5/1 | 7/3 | 9/5 | 11/7 | 13/9 | 15/11 | etc. |
Thus superparticular ratios are delta-1 ratios, and superpartient ratios are all ratios except delta-1 ratios. The delta-N terminology was coined by Kite Giedraitis.