Tonality diamond: Difference between revisions
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A '''tonality diamond''' is a symmetric organization of [[otonality and utonality|otonal and utonal]] [[chord]]s based around a central note and bounded by an [[odd limit]]. First formalized in the [[7-odd-limit]] by {{w|Max Friedrich Meyer|Max F. Meyer}} in 1929,<ref name="meyer1929">Meyer, Max F. (1929) [https://archive.org/details/max-f-meyer-the-musicians-arithmetic/page/22/mode/2up ''The Musician’s Arithmetic: Drill Problems for an Introduction to the Scientific Study of Musical Composition'']. The University of Missouri Studies. Vol. 4, no. 1. University of Missouri. January 1, 1929. p. 22.</ref> the idea became central to the music and theories of [[Harry Partch]],<ref>Harry Partch (1949), ''Genesis of a Music'', University of Wisconsin Press</ref> who built his tonal system around the [[11-odd-limit]] tonality diamond. 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. | A '''tonality diamond''' is a symmetric organization of [[otonality and utonality|otonal and utonal]] [[chord]]s based around a central note and bounded by an [[odd limit]]. First formalized in the [[7-odd-limit]] by {{w|Max Friedrich Meyer|Max F. Meyer}} in 1929,<ref name="meyer1929">Meyer, Max F. (1929) [https://archive.org/details/max-f-meyer-the-musicians-arithmetic/page/22/mode/2up ''The Musician’s Arithmetic: Drill Problems for an Introduction to the Scientific Study of Musical Composition'']. The University of Missouri Studies. Vol. 4, no. 1. University of Missouri. January 1, 1929. p. 22.</ref> the idea became central to the music and theories of [[Harry Partch]],<ref>Harry Partch (1949), ''Genesis of a Music'', University of Wisconsin Press</ref> who built his tonal system around the [[11-odd-limit]] tonality diamond. 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. | ||
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== Construction == | == Construction == | ||