User:Nick Vuci/TonalityDiamond: Difference between revisions
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= Tonality Diamond = | = Tonality Diamond = | ||
The tonality diamond is a | The tonality diamond is a symmetric organization of otonal and utonal chords based around a central note and bounded by an odd-limit. First formalized in the 7-odd-limit by Max F Meyer in 1929, they became central to the music and theories of Harry Partch, who built his tonal system around the 11-odd-limit tonality diamond. The principle has been used both conceptually (such as for target intervals of temperaments) and practically (such as for instrument layouts) in xenharmonics ever since. | ||
=== [https://nickvuci.github.io/wiki-applets/tonalityDiamond.html Play some tonality diamonds here to see how they sound.] === | === [https://nickvuci.github.io/wiki-applets/tonalityDiamond.html Play some tonality diamonds here to see how they sound.] === | ||
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The first novel xenharmonic temperament — George Secor's later-named "Miracle" temperament — was made to approximate Partch's 11-limit diamond. | The first novel xenharmonic temperament — George Secor's later-named "Miracle" temperament — was made to approximate Partch's 11-limit diamond. | ||
== Uses == | |||
=== Instrument layout === | |||
The most famous example of the tonality diamond as a practical layout for an instrument is Harry Partch's "Diamond Marimba," which uses the 11-odd-limit tonality diamond exactly. This idea was explored further with Partch's "Quadrangularis Reversum," and by Cris Forster with his 13-odd-limit "Diamond Marimba." | |||