Superparticular intervals
Name Letter Nowiki Ratio Prime factors Cents Audio Prime limit
Perfect unison C 1 : 1 1 : 1 0 Play 2
Difference between 5:3 (A) and 53:32 (A43U) C43U {{music|U53}} 160 : 159 25·5 : 3·53 10.85 Play 53
Difference between 9/5 (Bb) and 29/16 (B29) C29 {{music|29}} 145 : 144 5·29 : 24·32 11.98 Play 29
Difference between 4/3 (F) and 43/32 (F43) C43 {{music|43}} 129 : 128 3·43 : 27 13.47 Play 43
Difference between 19/16 (E19) & 6/5 (E) C19U {{music|U19}} 96 : 95 25·3 : 5·19 18.13 Play 19
Difference between 5/3 (A) and 27/16 (A+),
syntonic comma
C+ {{music|plus}} 81 : 80 34 : 24·5 21.51 Play 5
Difference between 37/32 (D37#) and 75/64 (D#) C37U {{music|37U}} 75 : 74 3·52 : 2·37 23.24 Play 37
Difference between 8/5 (A) and 13/8 (A13),
65th harmonic
C13 {{music|13}} 65 : 64 5·13 : 26 26.84 Play 13
Difference between 17/16 (C17) & 25/24 (C) C17 {{music|17}} 51 : 50 3·17 : 2·52 34.28 Play 17
Difference between 3/2 (G) and 47/32 (G43U) C43U {{music|U47}} 48 : 47 24·3 : 47 36.45 Play 47
Difference between 45/32 (F+) and 23/16 (F23+) C23 {{music|23}} 46 : 45 2·23 : 32·5 38.05 Play 23
Difference between 5/4 (E) and 41/32 (E41) C41 {{music|41}} 41 : 40 41 : 23·5 42.75 Play 41
Difference between 7/4 (B7b) and 9/5 (Bb),
septimal quarter tone
C7 upside-down {{music|L}} 36 : 35 22·32 : 5·7 48.77 Play 7
Difference between 4/3 (F) and 11/8 (F),
thirty-third harmonic
C {{music|up}} 33 : 32 3·11 : 25 53.27 Play 11
Difference between 31/16 (B31) & 15/8 (B) C31 {{music|31}} 31 : 30 31 : 2·3·5 56.77 Play 31
Difference between 3/2 (G) and 25/16 (G#),
just chromatic semitone
C {{music|#}} 25 : 24 52 : 23·3 70.67 Play 5
  • PRIME #S: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...
  • All ratios appear to be superparticular intervals which are the difference between a harmonic and a just interval (the difference between B7 and B, 36:35).

See also

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