ResearchFrontier structures and internal systems
QUADRITONAL ARPEGGIOS
← BACKPATTERNS 1251-1291
Division of twelve tones into four mutually exclusive triads
A quadritone is an interval of 4 whole tones (8 semitones, or a minor sixth). These patterns divide all 12 chromatic notes into 4 separate triads.
41 arpeggios total
| PATTERN | NAME | FOUR TRIADS | COMBINED NOTES |
|---|---|---|---|
| 1251 | Four Major Triads - Type 1 | C-E-G | Db-F-Ab | D-F#-A | Eb-G-Bb | CEGDbFAbDF#AEbGBb |
| 1252 | Four Major Triads - Type 2 | C-E-G | Db-F-Ab | Eb-G-Bb | E-G#-B | CEGDbFAbEbGBbEG#B |
| 1253 | Four Major Triads - Type 3 | C-E-G | D-F#-A | Eb-G-Bb | F-A-C | CEGDF#AEbGBbFAC |
| 1254 | Four Minor Triads - Type 1 | C-Eb-G | Db-E-Ab | D-F-A | Eb-Gb-Bb | CEbGDbEAbDFAEbGbBb |
| 1255 | Four Minor Triads - Type 2 | C-Eb-G | Db-E-Ab | D-F-A | E-G-B | CEbGDbEAbDFAEGB |
| 1256 | Four Minor Triads - Type 3 | C-Eb-G | D-F-A | E-G-B | F-Ab-C | CEbGDFAEGBFAbC |
| 1257 | Four Diminished Triads - Type 1 | C-Eb-Gb | Db-E-G | D-F-Ab | Eb-Gb-A | CEbGbDbEGDFAbEbGbA |
| 1258 | Four Diminished Triads - Type 2 | C-Eb-Gb | D-F-Ab | E-G-Bb | F#-A-C | CEbGbDFAbEGBbF#AC |
| 1259 | Four Augmented Triads | C-E-Ab | Db-F-A | D-F#-Bb | Eb-G-B | CEAbDbFADF#BbEbGB |
| 1260 | Mixed: 2 Major + 2 Minor | C-E-G | Db-F-Ab | D-F-A | Eb-Gb-Bb | CEGDbFAbDFAEbGbBb |
| 1261 | Mixed: Major-Minor-Dim-Aug | C-E-G | Db-E-Ab | D-F-Ab | Eb-G-B | CEGDbEAbDFAbEbGB |
| 1262 | Ascending Major Triads | C-E-G | D-F#-A | E-G#-B | F-A-C | CEGDF#AEG#BFAC |
| 1263 | Descending Major Triads | C-E-G | Bb-D-F | Ab-C-Eb | Gb-Bb-Db | CEGBbDFAbCEbGbBbDb |
| 1264 | Alternating Major-Minor | C-E-G | Db-E-Ab | D-F#-A | Eb-Gb-Bb | CEGDbEAbDF#AEbGbBb |
| 1265 | Circle of Fifths Major | C-E-G | G-B-D | D-F#-A | A-C#-E | CEGGBDDF#AAC#E |
| 1266 | Circle of Fourths Major | C-E-G | F-A-C | Bb-D-F | Eb-G-Bb | CEGFACBbDFEbGBb |
| 1267 | Chromatic Major Sequence | C-E-G | Db-F-Ab | D-F#-A | Eb-G-Bb | CEGDbFAbDF#AEbGBb |
| 1268 | Whole-Tone Separated | C-E-G | D-F#-A | Eb-G-Bb | F-A-C | CEGDF#AEbGBbFAC |
| 1269 | Tritone Pairs | C-E-G | Gb-Bb-Db | D-F#-A | Ab-C-Eb | CEGGbBbDbDF#AAbCEb |
| 1270 | Symmetric Division | C-E-G | Eb-G-Bb | Gb-Bb-Db | A-C#-E | CEGEbGBbGbBbDbAC#E |
| 1271 | Root Position Chain | C-E-G | E-G#-B | Ab-C-Eb | B-D#-F# | CEGEG#BAbCEbBD#F# |
| 1272 | First Inversion Chain | E-G-C | G#-B-E | C-Eb-Ab | D#-F#-B | EGCG#BECEbAbD#F#B |
| 1273 | Second Inversion Chain | G-C-E | B-E-G# | Eb-Ab-C | F#-B-D# | GCEBEG#EbAbCF#BD# |
| 1274 | Interlocked Major Triads | C-E-G | E-Ab-B | Ab-C-Eb | B-D-F# | CEGEAbBAbCEbBDF# |
| 1275 | Interlocked Minor Triads | C-Eb-G | Eb-Gb-Bb | Gb-A-Db | A-C-E | CEbGEbGbBbGbADbACE |
| 1276 | Contrary Motion Triads | C-E-G | B-G#-E | Bb-G-Eb | A-F#-D | CEGBG#EBbGEbAF#D |
| 1277 | Nested Major-Minor | C-E-G | C-Eb-G | Db-F-Ab | Db-E-Ab | CEGCEbGDbFAbDbEAb |
| 1278 | Augmented Base | C-E-Ab | E-Ab-C | Ab-C-E | Db-F-A | CEAbEAbCAbCEDbFA |
| 1279 | Diminished Base | C-Eb-Gb | Eb-Gb-A | Gb-A-C | A-C-Eb | CEbGbEbGbAGbACACEb |
| 1280 | Mixed Quality Chromatic | C-E-G | Db-E-Ab | D-F#-A | Eb-Gb-Bb | CEGDbEAbDF#AEbGbBb |
| 1281 | Pedal Point Major | C-E-G | C-F-Ab | C-Gb-Bb | C-G#-B | CEGCFAbCGbBbCG#B |
| 1282 | Shared Note Progression | C-E-G | G-B-D | D-F#-A | A-C#-E | CEGGBDDF#AAC#E |
| 1283 | Parallel Major-Minor | C-E-G | C-Eb-G | Db-F-Ab | Db-E-Ab | CEGCEbGDbFAbDbEAb |
| 1284 | Quartal Base | C-F-Bb | Db-Gb-B | D-G-C | Eb-Ab-Db | CFBbDbGbBDGCEbAbDb |
| 1285 | Secundal Base | C-D-E | F-G-A | Bb-C-D | Eb-F-G | CDEFGABbCDEbFG |
| 1286 | Octatonic Division | C-Eb-Gb | Db-E-G | D-F-Ab | Eb-Gb-A | CEbGbDbEGDFAbEbGbA |
| 1287 | Hexatonic Division | C-E-Ab | Db-F-A | D-F#-Bb | Eb-G-B | CEAbDbFADF#BbEbGB |
| 1288 | Diatonic Trichord Sets | C-E-G | D-F-A | E-G-B | F-A-C | CEGDFAEGBFAC |
| 1289 | Retrograde Triads | C-E-G | G-E-C | Ab-C-Eb | Eb-C-Ab | CEGGECAbCEbEbCAb |
| 1290 | Inversional Symmetry | C-E-G | C-Ab-F | Db-F-Ab | Db-A-Gb | CEGCAbFDbFAbDbAGb |
| 1291 | Complete Chromatic Partition | C-E-G# | Db-F-A | D-F#-Bb | Eb-G-B | CEG#DbFADF#BbEbGB |