User:PiotrGrochowski/Interval summary

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PiotrGrochowski's summary

interval description
unison 1/1, or 0 cents in any tuning
augmented unison 28/27, 25/24, 21/20, 135/128
minor second 16/15, 15/14, 27/25
major second 10/9, 9/8
fifth The perfect fifth is 3/2, or 701.955 cents.
1/4 comma meantone: 696.578 cents
12edo: 700 cents
17edo: 705.882 cents
19edo: 694.737 cents
22edo: 709.091 cents

Below is me trying to name all the 15-odd-limit intervals.

10/9, 182.404 cents – lesser major second 9/5

9/8, 203.910 cents — greater major second 16/9

8/7, 231.174 cents — septimal supermajor second 7/4

7/6, 266.871 cents — septimal subminor third 12/7

6/5, 315.641 cents — perfect minor third 5/3

5/4, 386.314 cents — perfect major third 8/5

9/7, 435.084 cents — septimal supermajor third 14/9

4/3, 498.045 cents — perfect fourth

7/5, 582.512 cents — septimal augmented fourth

10/7, 617.488 cents — septimal diminished fifth

3/2, 701.955 cents — perfect fifth

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