Tonality diamond: Difference between revisions
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Tonality diamonds have been used both conceptually (such as for [[Target tuning|targets]] of [[temperaments]]) and practically (such as for instrument layouts) in xenharmonics ever since. | Tonality diamonds have been used both conceptually (such as for [[Target tuning|targets]] of [[temperaments]]) and practically (such as for instrument layouts) in xenharmonics ever since. | ||
[https://nickvuci.github.io/wiki-applets/TonalityDiamond/tonalityDiamond.html Play some tonality diamonds | [https://nickvuci.github.io/wiki-applets/TonalityDiamond/tonalityDiamond.html Play some tonality diamonds on your browser here.] | ||
== Construction == | == Construction == | ||
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* Tonally: (1, 9, 5, 11, 3, 7) as in Partch's 11-limit diamond. | * Tonally: (1, 9, 5, 11, 3, 7) as in Partch's 11-limit diamond. | ||
* Chordally: (1, 5, 3, 7, 9, 11) as in the layout for the Diamond Marimba. This creates a 4:5:6:7:9:11 extended 11th chord on the diagonal, arranged in thirds. | * Chordally: (1, 5, 3, 7, 9, 11) as in the layout for the Diamond Marimba. This creates a 4:5:6:7:9:11 extended 11th chord on the diagonal, arranged in thirds. | ||
Here's a short video illustrating the interlocking nature of the otonal and utonal chords and constant presence of the 1/1 interval in the 5-limit tonality diamond: | |||
[[File:5-Limit Tonality Diamond original format.mp4]] | |||
== History == | == History == | ||