VARIATION PATTERNS

PATTERNS 156-1033

Slonimsky's variation techniques systematically transform base patterns (1-155) by adding notes in specific positions relative to the "anchor tones" (principal tones of the equal division).

INTERPOLATION

Insert notes between anchors

ULTRAPOLATION

Add notes above next anchor

INFRAPOLATION

Add notes below each anchor

SELECT BASE PATTERN

Octaves: 1

Division: 2

Unit: 6 semitones

Anchors: 2

SELECT VARIATION TYPE

Notes inserted BETWEEN anchor tones

NUMBER OF NOTES ADDED

SHOWING 5 VARIATIONS

PATTERN #	DESCRIPTION	COMBINATION	FORMULA	NOTES (from C)
161	Interpolation of 1 note [1]	[1]	ST-P4-ST-P4	CDbGbGC
162	Interpolation of 1 note [2]	[2]	T-M3-T-M3	CDGbAbC
163	Interpolation of 1 note [3]	[3]	m3-m3-m3-m3	CEbGbAC
164	Interpolation of 1 note [4]	[4]	M3-T-M3-T	CEGbBbC
165	Interpolation of 1 note [5]	[5]	P4-ST-P4-ST	CFGbBC

HOW TO USE THIS TOOL

Select a base pattern (1-155) to see what variations can be generated from it
Choose a variation type (Interpolation, Ultrapolation, or Infrapolation)
Select how many notes to add (1-5 depending on the pattern)
Explore different combinations - each creates a unique melodic pattern
The "combination" shows which semitone offsets are used in the transformation

Note: These ~878 variation patterns (156-1033) are generated algorithmically from the base patterns using Slonimsky's systematic transformation techniques.