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Cardinality | 7 (heptatonic) |
---|---|
Pitch Class Set | {0,1,5,6,8,10,11} |
Forte Number | 7-14 |
Rotational Symmetry | none |
Reflection Axes | none |
Palindromic | no |
Chirality | yes enantiomorph: 2263 |
Hemitonia | 4 (multihemitonic) |
Cohemitonia | 2 (dicohemitonic) |
Imperfections | 2 |
Modes | 6 |
Prime? | no prime: 431 |
Deep Scale | no |
Interval Vector | 443352 |
Interval Spectrum | p5m3n3s4d4t2 |
Distribution Spectra | <1> = {1,2,4} <2> = {2,3,4,5} <3> = {3,4,5,6,7} <4> = {5,6,7,8,9} <5> = {7,8,9,10} <6> = {8,10,11} |
Spectra Variation | 2.857 |
Maximally Even | no |
Maximal Area Set | no |
Interior Area | 2.299 |
Myhill Property | no |
Balanced | no |
Ridge Tones | none |
Propriety | Improper |
Heliotonic | yes |
These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.
* Pitches are shown with C as the root
Triad Type | Triad* | Pitch Classes | Degree | Eccentricity | Closeness Centrality |
---|---|---|---|---|---|
Major Triads | C♯ | {1,5,8} | 2 | 2 | 1.2 |
F♯ | {6,10,1} | 1 | 4 | 2 | |
Minor Triads | fm | {5,8,0} | 2 | 3 | 1.4 |
a♯m | {10,1,5} | 2 | 3 | 1.4 | |
Diminished Triads | f° | {5,8,11} | 1 | 4 | 2 |
Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.
Diameter | 4 |
---|---|
Radius | 2 |
Self-Centered | no |
Central Vertices | C♯ |
Peripheral Vertices | f°, F♯ |
Modes are the rotational transformation of this scale. Scale 3427 can be rotated to make 6 other scales. The 1st mode is itself.
2nd mode: Scale 3761 | ![]() | Raga Madhuri | |||
3rd mode: Scale 491 | ![]() | Aeolyrian | |||
4th mode: Scale 2293 | ![]() | Gorian | |||
5th mode: Scale 1597 | ![]() | Aeolodian | |||
6th mode: Scale 1423 | ![]() | Doptian | |||
7th mode: Scale 2759 | ![]() | Mela Pavani |
The prime form of this scale is Scale 431
Scale 431 | ![]() | Epyrian |
The heptatonic modal family [3427, 3761, 491, 2293, 1597, 1423, 2759] (Forte: 7-14) is the complement of the pentatonic modal family [167, 901, 1249, 2131, 3113] (Forte: 5-14)
The inverse of a scale is a reflection using the root as its axis. The inverse of 3427 is 2263
Scale 2263 | ![]() | Lycrian |
Only scales that are chiral will have an enantiomorph. Scale 3427 is chiral, and its enantiomorph is scale 2263
Scale 2263 | ![]() | Lycrian |
T0 | 3427 | T0I | 2263 | |||||
T1 | 2759 | T1I | 431 | |||||
T2 | 1423 | T2I | 862 | |||||
T3 | 2846 | T3I | 1724 | |||||
T4 | 1597 | T4I | 3448 | |||||
T5 | 3194 | T5I | 2801 | |||||
T6 | 2293 | T6I | 1507 | |||||
T7 | 491 | T7I | 3014 | |||||
T8 | 982 | T8I | 1933 | |||||
T9 | 1964 | T9I | 3866 | |||||
T10 | 3928 | T10I | 3637 | |||||
T11 | 3761 | T11I | 3179 |
These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.
Scale 3425 | ![]() | |||
Scale 3429 | ![]() | Marian | ||
Scale 3431 | ![]() | Zyptyllic | ||
Scale 3435 | ![]() | Prokofiev | ||
Scale 3443 | ![]() | Verdi's Scala Enigmatica | ||
Scale 3395 | ![]() | |||
Scale 3411 | ![]() | Enigmatic | ||
Scale 3363 | ![]() | Rogimic | ||
Scale 3491 | ![]() | Tharian | ||
Scale 3555 | ![]() | Pylyllic | ||
Scale 3171 | ![]() | Zythimic | ||
Scale 3299 | ![]() | Syptian | ||
Scale 3683 | ![]() | Dycrian | ||
Scale 3939 | ![]() | Dogyllic | ||
Scale 2403 | ![]() | Lycrimic | ||
Scale 2915 | ![]() | Aeolydian | ||
Scale 1379 | ![]() | Kycrimic |
This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.
Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO
Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.