User:CellularAutomaton/Bitetradic: Difference between revisions

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A bitetradic scale is a heptatonic (or in certain cases smaller) scale created by constructing two tetrads, one starting on 1/1 and one ending at the period. A special variety, the tertian bitetradic scale, is specifically created with two tertian seventh chords and a period of 2/1. Any heptatonic scale can be analyzed as bitetradic; for example, the 12edo Ionian scale consists of a Maj7 chord on the 1/1 and a Min7 chord ending at 2/1.

A bitetradic scale is a heptatonic (or in certain cases smaller) scale created by constructing two tetrads, one starting on 1/1 and one ending at the period. A special variety, the tertian bitetradic scale, is specifically created with two tertian seventh chords and a period of 2/1. In a tertian bitetradic scale, the tetrads interlock to form the scale such that notes from the lower and the upper tetrad alternate. Any heptatonic scale can be analyzed as bitetradic; for example, the 12edo Ionian scale consists of a Maj7 chord on the 1/1 and a Min7 chord ending at 2/1.

to ~~do: document rashtic~~; ~~talk about properties if applicable~~, ~~and extensions~~ to other ~~odd numbers~~ [~~possible to do even numbers by overlapping one interval?~~]~~, try this out with other tertian structures than diatonic~~

== Extensions to greater note sizes ==

It is possible to extend the bitetradic format to any odd size; instead of choosing two tetrads, one simply uses two pentads for nine notes, two hexads for eleven, et cetera.

== Design principles ==

Tertian tetrads should be close to 0-2-4-6\7

If you're not using tertian tetrads, then try to assign each note of 7edo to one or the other tetrad

== Examples of bitetradic scales ==

Any heptatonic scale could be considered bitetradic, but these scales were created specifically using the bitetradic method.

[[Rashtic]]

TBD

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-A bitetradic scale is a heptatonic (or in certain cases smaller) scale created by constructing two tetrads, one starting on 1/1 and one ending at the period. A special variety, the tertian bitetradic scale, is specifically created with two tertian seventh chords and a period of 2/1. Any heptatonic scale can be analyzed as bitetradic; for example, the 12edo Ionian scale consists of a Maj7 chord on the 1/1 and a Min7 chord ending at 2/1.
+A bitetradic scale is a heptatonic (or in certain cases smaller) scale created by constructing two tetrads, one starting on 1/1 and one ending at the period. A special variety, the tertian bitetradic scale, is specifically created with two tertian seventh chords and a period of 2/1. In a tertian bitetradic scale, the tetrads interlock to form the scale such that notes from the lower and the upper tetrad alternate. Any heptatonic scale can be analyzed as bitetradic; for example, the 12edo Ionian scale consists of a Maj7 chord on the 1/1 and a Min7 chord ending at 2/1.
-to do: document rashtic; talk about properties if applicable, and extensions to other odd numbers [possible to do even numbers by overlapping one interval?], try this out with other tertian structures than diatonic
+== Extensions to greater note sizes ==
+It is possible to extend the bitetradic format to any odd size; instead of choosing two tetrads, one simply uses two pentads for nine notes, two hexads for eleven, et cetera.
+== Design principles ==
+Tertian tetrads should be close to 0-2-4-6\7
+If you're not using tertian tetrads, then try to assign each note of 7edo to one or the other tetrad
+== Examples of bitetradic scales ==
+Any heptatonic scale could be considered bitetradic, but these scales were created specifically using the bitetradic method.
+[[Rashtic]]
+TBD