List of musical intervals
- List of musical intervals
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Some terminology used in list:
* In music, the "prime limit" (henceforth referred to simply as the "limit") is a number measuring the harmony of an interval. The lower the number, the more consonant the interval is considered to be. It is defined as the largest prime number in the factorization of both the numerator and denominator of the frequency ratio. The limit of the just perfect fourth (4 : 3) is 3, but the just minor tone (10 : 9) has a limit of 5, because 9 can be factorized into 3×3, and 10 into 2×5. There exists another type of limit, the "odd limit", which differs slightly from the prime limit, but is not used here.
* "Equal-tempered" refers to 12-tone equal temperament with intervals corresponding to 100 cent multiples (e.g., 100, 200, 300, etc.).
* "Pythagorean" means 3-limit just intonation—a ratio of numbers with prime factors no higher than three.
* "Just" means 5-limit just intonation—a ratio of numbers with prime factors no higher than five.
* Similarly, "septimal", "undecimal", "tridecimal", and "septendecimal" mean, respectively, 7, 11, 13, and 17-limit just intonation.
* By definition every tone in a 3-limit unit can also be part of a 5-limit tuning and so on. By sorting the limit column all tones of that limit can be brought together (tip: sort backwards by clicking the button twice).
* Since the table is sortable, you can also sort the table by frequency ratio, by cents or alphabetically.
List
ee also
*List of meantone intervals
External links
* [http://www.xs4all.nl/~huygensf/doc/intervals.html List of interval names in English]
* [http://66.98.148.43/~xenharmo/commalist.htm Xenharmonic.com septimal comma list]
* [http://www.kylegann.com/Octave.html A great number of musical intervals]
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