Tonality diamond: Difference between revisions
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== History == | == History == | ||
The tonality diamond was first formally explained by Max F. Meyer in his 1929 publication ''The Musician's Arithmetic'' using the 7-odd-limit.<ref name="meyer1929"/> | The tonality diamond was first formally explained by Max F. Meyer in his 1929 publication ''The Musician's Arithmetic'' using the 7-odd-limit.<ref name="meyer1929"/> | ||
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The first novel xenharmonic temperament—[[George Secor|George Secor's]] later-named [[Miracle]] temperament—was made to approximate Partch's 11-limit diamond.<ref>Secor, George (1975). [https://www.anaphoria.com/SecorMiracle.pdf ''A New Look at the Partch Monophonic Fabric.''] Xenharmonicon. Vol. 3</ref><ref>Secor, George. (2006) [https://www.anaphoria.com/SecorMiracle.pdf ''The Miracle Temperament and Decimal Keyboard'']. Xenharmonikon. Vol. 18. 2006. pp. 5–15</ref> | The first novel xenharmonic temperament—[[George Secor|George Secor's]] later-named [[Miracle]] temperament—was made to approximate Partch's 11-limit diamond.<ref>Secor, George (1975). [https://www.anaphoria.com/SecorMiracle.pdf ''A New Look at the Partch Monophonic Fabric.''] Xenharmonicon. Vol. 3</ref><ref>Secor, George. (2006) [https://www.anaphoria.com/SecorMiracle.pdf ''The Miracle Temperament and Decimal Keyboard'']. Xenharmonikon. Vol. 18. 2006. pp. 5–15</ref> | ||
=== Instrument layout === | === 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.<ref>https://web.archive.org/web/20220901100217/https://www.chrysalis-foundation.org/instruments-and-music/diamond-marimba-i/</ref> | 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.<ref>https://web.archive.org/web/20220901100217/https://www.chrysalis-foundation.org/instruments-and-music/diamond-marimba-i/</ref>[[File:Diamond_marimba_layout.png|thumb|Layout of the Diamond Marimba. Ratios are shown unreduced to highlight the structure. [https://sintel.website/posts/diamond_marimba.html Click here to play the Diamond Marimba on your browser.]|488x488px|none]] | ||
== Music == | == Music == | ||
; Banjo Boogie | ; Banjo Boogie | ||