Ellis' interval table
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Table of musical intervals from Helmholtz's On the Sensations of Tone, added by translator Alexander Ellis
Intervals | Ellis' Interval Names | Helmholtz's Notation | Ellis's Notation of Intervals, reckoned from c | Ratio | Cents |
---|---|---|---|---|---|
Unison | Unison | c:c | 1:1 | 0 | |
Minor Second | Tempered minor Second | ||c:c# | 100 | ||
Minor Seocnd | Just minor Second | b1:c' | 15:16 | 112 | |
Major Second | Minor Tone | d:e1 | 9:10 | 182 | |
Major Second | Tempered major Second or whole Tone | ||c:d | 200 | ||
Major Second | Major Tone | c:d | 8:9 | 204 | |
Major Second | Diminished minor Third | 225:256 | 224 | ||
Minor Third | Augmented Tone | 64:75 | 274 | ||
Minor Third | Pythagorean minor Third | 27:32 | 294 | ||
Minor Third | Tempered minor Third | 300 | |||
Minor Third | Just minor Third | 5:6 | 316 | ||
Major Third | Just major Third | 4:5 | 386 | ||
Major Third | Tempered major Third | 400 | |||
Major Third | Diminished Fourth | 25:32 | 428 | ||
Fourth | Just Fourth | 3:4 | 498 | ||
Fourth | Tempered Fourth | 500 | |||
Fourth | Acute Fourth | 20:27 | 520 | ||
Sharp Fourth or Flat Fifth | Superfluous Fourth | 18:25 | 568 | ||
Sharp Fourth or Flat Fifth | False Fourth or Tritone | 32:45 | 590 | ||
Sharp Fourth or Flat Fifth | Tempered sharp Fourth or flat Fifth | 600 | |||
Sharp Fourth or Flat Fifth | Diminished Fifth | 45:64 | 610 | ||
Sharp Fourth or Flat Fifth | Acute diminished Fifth | 25:36 | 632 | ||
Fifth | Grave Fifth | 27:40 | 680 | ||
Fifth | Tempered Fifth | 700 | |||
Fifth | Just Fifth | 2:3 | 702 | ||
Minor Sixth | Grave Superfluous Fifth | 16:25 | 772 | ||
Minor Sixth | Tempered minor Sixth | 800 | |||
Minor Sixth | Just minor Sixth | 5:8 | 814 | ||
Major Sixth | Just major Sixth | 3:5 | 884 | ||
Major Sixth | Tempered major Sixth | 900 | |||
Major Sixth | Pythagorean major Sixth | 16:27 | 906 | ||
Major Sixth | Diminished Seventh | 75:128 | 926 | ||
Major Sixth | Extreme sharp Sixth | 128:225 | 976 | ||
Minor Seventh | Minor Seventh | 9:16 | 996 | ||
Minor Seventh | Tempered minor Seventh | 1000 | |||
Minor Seventh | Acute minor Seventh | 5:9 | 1018 | ||
Major Seventh | Just major Seventh | 8:15 | 1088 | ||
Major Seventh | Tempered major Seventh | 1100 | |||
Octave | Octave | 1:2 | 1200 |