19edo: Difference between revisions
→Subsets and supersets: expand in general what 19edo can do, not just undevigintone and meanmag as these are covered in 19th-octave temps. |
m Move Lumatone mapping for 19edo from See Also to Instruments |
||
| (4 intermediate revisions by 2 users not shown) | |||
| Line 48: | Line 48: | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
19edo is the 8th [[prime edo]], following [[17edo]] and preceding [[23edo]]. | 19edo is the 8th [[prime edo]], following [[17edo]] and preceding [[23edo]]. As such, it does not contain any nontrivial subset edos, though it contains [[19ed4]]. | ||
[[38edo]], which doubles 19edo, provides an approximation of harmonic 11 that works well with the flat tendency of its 5-limit mapping. [[57edo]] effectively corrects the harmonic 7 to just, although it is [[76edo]] that fits the best. | [[38edo]], which doubles 19edo, provides an approximation of harmonic 11 that works well with the flat tendency of its 5-limit mapping. [[57edo]] effectively corrects the harmonic 7 to just, although it is [[76edo]] that fits the best. | ||
| Line 1,161: | Line 1,161: | ||
[[File:Vaisvil-19edo-guitar-IMG00145-1024x768.jpg|512x384px|thumb|none|19 note per octave Ibanez conversion by Brad Smith (Indianapolis)]] | [[File:Vaisvil-19edo-guitar-IMG00145-1024x768.jpg|512x384px|thumb|none|19 note per octave Ibanez conversion by Brad Smith (Indianapolis)]] | ||
[[File:Bass19.jpg|alt=19edo 5 string Bass 34"-37" scale length|512x384px|thumb|none|19edo bass conversion by Ron Sword]] | [[File:Bass19.jpg|alt=19edo 5 string Bass 34"-37" scale length|512x384px|thumb|none|19edo bass conversion by Ron Sword]] | ||
Several [[Lumatone mapping for 19edo|Lumatone mappings for 19edo]] are available. | |||
== Music == | == Music == | ||
| Line 1,177: | Line 1,179: | ||
* [[Mason Green's New Common Practice Notation]] | * [[Mason Green's New Common Practice Notation]] | ||
* [[Extraclassical tonality]] | * [[Extraclassical tonality]] | ||
== Further reading == | == Further reading == | ||
* [[Mandelbaum, Joel]]. ''[https://anaphoria.com/mandelbaum.html Multiple Division of the Octave and the Tonal Resources of 19-tone Temperament]''. 1961. | |||
* [[Darreg, Ivor]]. ''[http://www.tonalsoft.com/sonic-arts/darreg/case.htm A Case for Nineteen]''. 1982. | * [[Darreg, Ivor]]. ''[http://www.tonalsoft.com/sonic-arts/darreg/case.htm A Case for Nineteen]''. 1982. | ||
* Darreg, Ivor. ''[ | * Darreg, Ivor. ''[https://microstick.net/nineteen-for-the-nineties-by-ivor-darreg/ Nineteen for the Nineties]''. (Unknown date of publication). | ||
* Howe, Hubert S., Jr. [ | * Howe, Hubert S., Jr. [https://huberthowe.org/tone-theory/ 19-Tone Theory and Applications]. c. 2004. | ||
* [[Sethares, William A]]. [http://sethares.engr.wisc.edu/tet19/guitarchords19.html Tunings for 19 Tone Equal Tempered Guitar]. 1991. | * [[Sethares, William A]]. [http://sethares.engr.wisc.edu/tet19/guitarchords19.html Tunings for 19 Tone Equal Tempered Guitar]. 1991. | ||
* [[Sword, Ron]]. ''[http://www.metatonalmusic.com/books.html Enneadecaphonic Scales for Guitar: A Repository of Scales, Chord-Scales, Notations and Techniques for Nineteen Equal Divisions of the Octave]''. 2010. | * [[Sword, Ron]]. ''[http://www.metatonalmusic.com/books.html Enneadecaphonic Scales for Guitar: A Repository of Scales, Chord-Scales, Notations and Techniques for Nineteen Equal Divisions of the Octave]''. 2010. | ||
* Yasser, Joseph. ''[https:// | * Yasser, Joseph. ''[https://archive.org/details/theoryofevolving0000jose Theory of Evolving Tonality]''. 1932. | ||
== External links == | == External links == | ||
| Line 1,191: | Line 1,194: | ||
* [http://www.n-ism.org/Projects/microtonalism.php Microtonalism] by Ingrid Pearson, Graham Hair, Dougie McGilvray, Nick Bailey, Amanda Morrison and Richard Parncutt (from n-ISM, the Network for Interdisciplinary Studies in Science, Technology, and Music) | * [http://www.n-ism.org/Projects/microtonalism.php Microtonalism] by Ingrid Pearson, Graham Hair, Dougie McGilvray, Nick Bailey, Amanda Morrison and Richard Parncutt (from n-ISM, the Network for Interdisciplinary Studies in Science, Technology, and Music) | ||
* [http://mtg.redkeylabs.com/index.php?topic=6.0 Forum Discussion with some 19-EDO xenharmonic scales Hanson (Keemun), Liese, Negri, Magic, Semaphore, Sensi played on guitar]. | * [http://mtg.redkeylabs.com/index.php?topic=6.0 Forum Discussion with some 19-EDO xenharmonic scales Hanson (Keemun), Liese, Negri, Magic, Semaphore, Sensi played on guitar]. | ||
* [[Bostjan Zupancic]]'s [https://sites.google.com/site/bostjanzupancickhereb/ | * [[Bostjan Zupancic]]'s [https://sites.google.com/site/bostjanzupancickhereb/khereb/bostjan/microtones/19edo 19-EDO pages] | ||
* [https://sites.google.com/view/19edoscales Catalog of all 19edo heptatonic scales] | * [https://sites.google.com/view/19edoscales Catalog of all 19edo heptatonic scales] | ||
=== References === | === References === | ||
* Bucht, Saku and Huovinen, Erkki, ''Perceived consonance of harmonic intervals in 19-tone equal temperament'', CIM04_proceedings. | * Bucht, Saku and Huovinen, Erkki, [https://www.parncutt.org/CIM04/CIM04_paper_pdf/Bucht_Huovinen_CIM04_proceedings.pdf ''Perceived consonance of harmonic intervals in 19-tone equal temperament''], CIM04_proceedings. | ||
* Levy, Kenneth J., ''Costeley's Chromatic Chanson'', Annales Musicologues: Moyen-Age et Renaissance, Tome III (1955), pp. 213-261. | * Levy, Kenneth J., ''Costeley's Chromatic Chanson'', Annales Musicologues: Moyen-Age et Renaissance, Tome III (1955), pp. 213-261. | ||