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Ragisma

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Septimal minor third on C Play.

In music and tuning, the ragisma is an interval with the ratio of 4375:4374, ≈0.396 cents (a superparticular ratio). It is usually defined as the difference between the septimal minor third (7:6) and two Bohlen–Pierce small semitones (27:25 Play one). It is also the difference between minor Bohlen–Pierce diesis (245:243) and septimal semicomma (126:125), as well as the difference between the septimal third tone (28:27) and the greater diesis (648:625). (Play)

References

  1. Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxviii. ISBN 80-88683-28-9.
Intervals
Twelve-
semitone

(post-Bach
Western)
(Numbers in brackets
are the number of
semitones in the
interval.)
Perfect
Major
Minor
Augmented
Diminished
Compound
Other
tuning
systems
24-tone equal temperament
(Numbers in brackets refer
to fractional semitones.)

Neutral

Just intonations
(Numbers in brackets
refer to pitch ratios.)
7-limit
Higher-limit
Other
intervals
Groups
Semitones
Quarter tones
Commas
Measurement
Others
List of pitch intervals
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