9/7: Difference between revisions

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In [[just intonation]], '''9/7''' is the '''septimal ~~(super)~~major third''' of approximately 435.1{{cent}}, characteristic of [[7-limit]] and beyond. On its own, it has a very strident quality, but in the context of a chord, it can sound perfectly consonant. The 9-limit pentad 4:5:6:7:9 includes a septimal supermajor third between the 7th and the 9th. The interval has an interesting neutral quality to it similar to the way 9/8 behaves as ratios of nine all share this quality.

In [[just intonation]], '''9/7''' is the '''supermajor third''' or '''septimal major third''' of approximately 435.1{{cent}}, characteristic of [[7-limit]] and beyond. On its own, it has a very strident quality, but in the context of a chord, it can sound perfectly consonant. The 9-limit pentad 4:5:6:7:9 includes a septimal supermajor third between the 7th and the 9th. The interval has an interesting neutral quality to it similar to the way 9/8 behaves as ratios of nine all share this quality.

A just chord can be built with this wide third in place of the more traditional [[5/4]]. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400{{cent}} is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. Because 9/7 is a ratio of 9, it shares sonority qualities with [[9/8]] much more than 5/4. Chords such as the [[9-odd-limit]] pentad above and certain subsets of it give more opportunity for 9/7 to be heard as consonant.

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 {{Wikipedia|Septimal major third}}
-In [[just intonation]], '''9/7''' is the '''septimal (super)major third''' of approximately 435.1{{cent}}, characteristic of [[7-limit]] and beyond. On its own, it has a very strident quality, but in the context of a chord, it can sound perfectly consonant. The 9-limit pentad 4:5:6:7:9 includes a septimal supermajor third between the 7th and the 9th. The interval has an interesting neutral quality to it similar to the way 9/8 behaves as ratios of nine all share this quality.
+In [[just intonation]], '''9/7''' is the '''supermajor third''' or '''septimal major third''' of approximately 435.1{{cent}}, characteristic of [[7-limit]] and beyond. On its own, it has a very strident quality, but in the context of a chord, it can sound perfectly consonant. The 9-limit pentad 4:5:6:7:9 includes a septimal supermajor third between the 7th and the 9th. The interval has an interesting neutral quality to it similar to the way 9/8 behaves as ratios of nine all share this quality.
 A just chord can be built with this wide third in place of the more traditional [[5/4]]. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400{{cent}} is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. Because 9/7 is a ratio of 9, it shares sonority qualities with [[9/8]] much more than 5/4. Chords such as the [[9-odd-limit]] pentad above and certain subsets of it give more opportunity for 9/7 to be heard as consonant.