ResearchFrontier structures and internal systems
INTERVALLIC SERIES
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Patterns with systematically increasing or diminishing intervals
These patterns create melodic lines where intervals grow progressively larger or smaller, creating dynamic contours.
24 patterns total
Intervals grow progressively larger
| # | NAME | FORMULA | DESCRIPTION | EXAMPLE |
|---|---|---|---|---|
| 1 | Chromatic Expansion | m2-M2-m3-M3-P4-TT-P5-m6-M6-m7-M7 | Starts with semitone, expands through all intervals | CDbEbFAbCEADG#EbC |
| 2 | Whole-Tone Expansion | M2-m3-M3-P4-TT-P5-m6-M6-m7-M7-8ve | Starts with whole tone, expands through octave | CDFAC#GDbAbEbBbFC |
| 3 | Third Expansion | m3-M3-P4-TT-P5-m6-M6-m7-M7 | Starts with minor third, expands systematically | CEbGBEBbEbAEBbF |
| 4 | Symmetric Expansion | m2-m3-P4-P5-m6-m7 | Symmetric interval growth pattern | CDbEbGDAbEb |
| 5 | Fibonacci Intervals | m2-m2-m3-P4-m6-M7 | Intervals follow Fibonacci-like growth (1,2,3,5,8,11) | CDbDFBbGE |
| 6 | Arithmetic Progression | m2-M2-m3-M3-P4-TT | Adding one semitone each interval | CDbEbFAbC |