by REGINALD BAIN
Composer Harry Partch in his book Genesis of a Music assigned names to many of the intervals found in the lower part of the harmonic series. The chart below gives the interval frequency ratio, interval size in cents, Partch interval name and audio example for a number of these intervals. The chart is designed to help you learn what just intervals sound like. Note the pure quality of these intervals and how they differ from the intervals available on a modern piano.Note regarding playback: It should be noted that each audio example uses the following tone pattern for playback:
A above middle-C sounds for two seconds, then the upper tone is added for four seconds. The audio examples were synthesed using Barry Vercoe's Csound and compressed using QuickTime's QDesign 2 Music codec. The timbre is a simulated pluck string based on the Karplus/Strong algorithm. Fade ins and fade outs have not been added to the examples.
| Freq. Ratio | Size in Cents | Interval Name given by Harry Partch | Playback |
| 1:1 | 0 | unison | |
| 2:1 | 1200 | octave | |
| 3:2 | 702 | just "perfect fifth" | |
| 4:3 | 498 | just "perfect fourth" | |
| 5:4 | 386 | just "major third" | |
| 6:5 | 316 | just "minor third" | |
| 7:6 | 267 | the septimal "minor third" | |
| 5:3 | 884 | just "major sixth" | |
| 8:5 | 814 | just "minor sixth" | |
| 12:7 | 933 | the septimal "major sixth" | |
| 9:8 | 204 | the large just "major second" | |
| 10:9 | 182 | the small just "major second" | |
| 8:7 | 231 | the septimal "major second" | |
| 9:5 | 1018 | the large just "minor seventh" | |
| 16:9 | 996 | the small just "minor seventh" | |
| 7:4 | 969 | the septimal "minor seventh" | |
| 16:15 | 112 | the large just "minor second" | |
| 25:24 | 71 | the small just "minor second" | |
| 15:8 | 1088 | the small just "major seventh" | |
| 48:25 | 1129 | the large just "major seventh" | |
| 45:32 | 590 | generally considered to be the just "tritones" | |
| 64:45 | 610 | ||
| 7:5 | 582 | the septimal "tritones" | |
| 10:7 | 617 |
Reginald Bain |
University of South Carolina |
School of Music |
Disclaimer
http://www.music.sc.edu/fs/bain/atmi02/
A Web-based Multimedia Approach to the Harmonic Series: Just Interval Definitions
© 1997-2002 Reginald Bain. All rights reserved.