Intonalism: Difference between revisions

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'''Intonalism''' is an approach to musical structure in which harmonic areas move according to a complete universe based on [[just intonation]]. Each tonal area is tuned to all other tonal areas by means of pure intervals.

'''Intonalism''' is an approach to musical structure in which harmonic areas {{clarify|define what a harmonic area is, give an example}} move according to a complete universe based on [[just intonation]]. Each tonal area is tuned to all other tonal areas by means of pure intervals.{{clarify|explain in step by step detail how this is done}}

== History ==

Intonalism was developed by [[William Copper]] over the period from 2009 - 2016; during this development then-active members of the various Facebook xen harmony pages contributed ideas and suggestions. In Copper's usage, all tonal areas relate to each other using [[5-limit]] just intonation but there is no reason that more extended tonal relations could not be based on higher limit pure intervals.

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In 2020 music educator Adam Neely picked up the term and used it in his [[7th Level of Jazz Harmony|Seven Levels of Jazz Harmony]], with a somewhat different and rather ambiguous intent, where he seemed to describe the use of a tempered scale (often [[12edo]]) for the lead melody of a piece. The current melody note at any given point in time is then treated as a reference pitch, and the current backing chord uses pure just intonation, tuned relative to the current reference pitch. In a sense this is an inverse form of [[adaptive just intonation]] where the bass line adjusts to a tempered scale and the melody and harmony notes tune to it.

~~An example of the score and notations~~ [[:File:COPPER Lelisir Tableau.png|~~File:COPPER Lelisir Tableau.png~~]] illustrates several things. The key signature includes a reference notation to indicate where the tonal center is tuned; individual notes are adjusted up or down by syntonic comma as needed; and the final bar illustrated shows one of the many tonal areas found through intonalism but impossible in equal temperament, even beginning from the same reference pitch, in this case A=440.

== Notation ==

[[File:COPPER Lelisir Tableau.png|thumb]]

This example of the score and notations illustrates several things. The key signature includes a reference notation to indicate where the tonal center is tuned; individual notes are adjusted up or down by syntonic comma as needed; and the final bar illustrated shows one of the many tonal areas found through intonalism but impossible in equal temperament, even beginning from the same reference pitch, in this case A=440.

[[Category:Just intonation]]

[[Category:Intonalism]]

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-'''Intonalism''' is an approach to musical structure in which harmonic areas move according to a complete universe based on [[just intonation]]. Each tonal area is tuned to all other tonal areas by means of pure intervals.
+'''Intonalism''' is an approach to musical structure in which harmonic areas {{clarify|define what a harmonic area is, give an example}} move according to a complete universe based on [[just intonation]]. Each tonal area is tuned to all other tonal areas by means of pure intervals.{{clarify|explain in step by step detail how this is done}}
+== History ==
 Intonalism was developed by [[William Copper]] over the period from 2009 - 2016; during this development then-active members of the various Facebook xen harmony pages contributed ideas and suggestions. In Copper's usage, all tonal areas relate to each other using [[5-limit]] just intonation but there is no reason that more extended tonal relations could not be based on higher limit pure intervals.
@@ Line 5: / Line 7: @@
 In 2020 music educator Adam Neely picked up the term and used it in his [[7th Level of Jazz Harmony|Seven Levels of Jazz Harmony]], with a somewhat different and rather ambiguous intent, where he seemed to describe the use of a tempered scale (often [[12edo]]) for the lead melody of a piece. The current melody note at any given point in time is then treated as a reference pitch, and the current backing chord uses pure just intonation, tuned relative to the current reference pitch. In a sense this is an inverse form of [[adaptive just intonation]] where the bass line adjusts to a tempered scale and the melody and harmony notes tune to it.
-An example of the score and notations [[:File:COPPER Lelisir Tableau.png|File:COPPER Lelisir Tableau.png]] illustrates several things. The key signature includes a reference notation to indicate where the tonal center is tuned; individual notes are adjusted up or down  by syntonic comma as needed; and the final bar illustrated shows one of the many tonal areas found through intonalism but impossible in equal temperament, even beginning from the same reference pitch, in this case A=440.
+== Notation ==
+[[File:COPPER Lelisir Tableau.png|thumb]]
+This example of the score and notations illustrates several things. The key signature includes a reference notation to indicate where the tonal center is tuned; individual notes are adjusted up or down  by syntonic comma as needed; and the final bar illustrated shows one of the many tonal areas found through intonalism but impossible in equal temperament, even beginning from the same reference pitch, in this case A=440.
 [[Category:Just intonation]]
 [[Category:Intonalism]]