Tonality diamond: Difference between revisions

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== History ==

~~[[File:Diamond_marimba_layout.png|thumb|Layout of the Diamond Marimba. Ratios are shown unreduced to highlight the structure.]]~~

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"/>

Harry Partch is the person most associated with the tonality diamond, and claimed to have invented it. However, it is likely that he plagarized the idea from Meyer.<ref>Forster, Cris (2015). ''[https://web.archive.org/web/20221207160002/https://www.chrysalis-foundation.org/the-partch-hoax-doctrines/ The Partch Hoax Doctrines]''. Self-published.</ref> Regardless, his extending of the concept to the 11-odd-limit (as well as his other extensions and uses of it) was an extremely important and foundational moment in the history of xenharmonic music.

Harry Partch is the person most associated with the tonality diamond, and claimed to have invented it. However, it is likely that he plagarized the idea from Meyer.<ref>Forster, Cris (2015). ''[https://web.archive.org/web/20221207160002/https://www.chrysalis-foundation.org/the-partch-hoax-doctrines/ The Partch Hoax Doctrines]''. Self-published.</ref> Regardless, his extending of the concept to the 11-odd-limit (as well as his other extensions and uses of it) was an extremely important and foundational moment in the history of xenharmonic music. [[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.]]][[Erv Wilson]] in particular was inspired by Partch's use of the tonality diamond and it's extended form. He developed a number of "diamonds" himself,<ref>Wilson, Erv. (1965-1970) [https://anaphoria.com/diamond.pdf ''Letters on Diamond Lattices''] (PDF) Self-published.</ref> as well as other concepts based on Partch's extended tonality diamond such as [[constant structure]].<ref>Wilson, Erv. (1964-2002) [https://www.anaphoria.com/Partchpapers.pdf ''The Partch Papers''] (collection of documents on Harry Partch's 11-limit diamond and its extensions, PDF). Self-published.</ref> A related idea of Wilson's is the [[Cross-set scale|cross-set]], of which the tonality diamond is a special case.

[[Erv Wilson]] in particular was inspired by Partch's use of the tonality diamond and it's extended form. He developed a number of "diamonds" himself,<ref>Wilson, Erv. (1965-1970) [https://anaphoria.com/diamond.pdf ''Letters on Diamond Lattices''] (PDF) Self-published.</ref> as well as other concepts based on Partch's extended tonality diamond such as [[constant structure]].<ref>Wilson, Erv. (1964-2002) [https://www.anaphoria.com/Partchpapers.pdf ''The Partch Papers''] (collection of documents on Harry Partch's 11-limit diamond and its extensions, PDF). Self-published.</ref> A related idea of Wilson's is the [[Cross-set scale|cross-set]], of which the tonality diamond is a special case.

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 ===

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.

The most famous example of the tonality diamon

~~[https://sintel~~.~~website/posts/diamond_marimba.html Play~~ with Partch's Diamond Marimba ~~here~~.]

d 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.

== Music ==

@@ Line 22: / Line 22: @@
 == History ==
-[[File:Diamond_marimba_layout.png|thumb|Layout of the Diamond Marimba. Ratios are shown unreduced to highlight the structure.]]
 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"/>
-Harry Partch is the person most associated with the tonality diamond, and claimed to have invented it. However, it is likely that he plagarized the idea from Meyer.<ref>Forster, Cris (2015). ''[https://web.archive.org/web/20221207160002/https://www.chrysalis-foundation.org/the-partch-hoax-doctrines/ The Partch Hoax Doctrines]''. Self-published.</ref> Regardless, his extending of the concept to the 11-odd-limit (as well as his other extensions and uses of it) was an extremely important and foundational moment in the history of xenharmonic music.
+Harry Partch is the person most associated with the tonality diamond, and claimed to have invented it. However, it is likely that he plagarized the idea from Meyer.<ref>Forster, Cris (2015). ''[https://web.archive.org/web/20221207160002/https://www.chrysalis-foundation.org/the-partch-hoax-doctrines/ The Partch Hoax Doctrines]''. Self-published.</ref> Regardless, his extending of the concept to the 11-odd-limit (as well as his other extensions and uses of it) was an extremely important and foundational moment in the history of xenharmonic music. [[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.]]][[Erv Wilson]] in particular was inspired by Partch's use of the tonality diamond and it's extended form. He developed a number of "diamonds" himself,<ref>Wilson, Erv. (1965-1970) [https://anaphoria.com/diamond.pdf ''Letters on Diamond Lattices''] (PDF) Self-published.</ref> as well as other concepts based on Partch's extended tonality diamond such as [[constant structure]].<ref>Wilson, Erv. (1964-2002) [https://www.anaphoria.com/Partchpapers.pdf ''The Partch Papers''] (collection of documents on Harry Partch's 11-limit diamond and its extensions, PDF). Self-published.</ref> A related idea of Wilson's is the [[Cross-set scale|cross-set]], of which the tonality diamond is a special case.
-[[Erv Wilson]] in particular was inspired by Partch's use of the tonality diamond and it's extended form. He developed a number of "diamonds" himself,<ref>Wilson, Erv. (1965-1970) [https://anaphoria.com/diamond.pdf ''Letters on Diamond Lattices''] (PDF) Self-published.</ref> as well as other concepts based on Partch's extended tonality diamond such as [[constant structure]].<ref>Wilson, Erv. (1964-2002) [https://www.anaphoria.com/Partchpapers.pdf ''The Partch Papers''] (collection of documents on Harry Partch's 11-limit diamond and its extensions, PDF). Self-published.</ref> A related idea of Wilson's is the [[Cross-set scale|cross-set]], of which the tonality diamond is a special case.
 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 ===
-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.
+The most famous example of the tonality diamon
-[https://sintel.website/posts/diamond_marimba.html Play with Partch's Diamond Marimba here.]
+d 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.
 == Music ==