In Equal Temperament and Non-Western Scales
Twelve-tone equal temperament (12-TET), as commonly used in Western music, does not provide a good approximation for this interval, and quarter tones (24-TET) do not match it well either. 19-TET, 22-TET, 31-TET, 41-TET, 53-TET, and 72-TET each offer successively better matches (measured in cents difference) to this interval.
Several non-Western and just intonation tunings, such as the 43-tone scale developed by Harry Partch, do feature the (exact) septimal minor third.
Read more about this topic: Septimal Minor Third
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“Temperament is the primary requisite for the critic—a temperament exquisitely susceptible to beauty, and to the various impressions that beauty gives us.”
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“For these have governed in our lives,
And see how men have warred.
The Cross, the Crown, the Scales may all
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—Robert Frost (1874–1963)