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Cardinality | 6 (hexatonic) |
---|---|
Pitch Class Set | {0,1,3,6,8,11} |
Forte Number | 6-Z47 |
Rotational Symmetry | none |
Reflection Axes | none |
Palindromic | no |
Chirality | yes enantiomorph: 2643 |
Hemitonia | 2 (dihemitonic) |
Cohemitonia | 1 (uncohemitonic) |
Imperfections | 2 |
Modes | 5 |
Prime? | no prime: 663 |
Deep Scale | no |
Interval Vector | 233241 |
Interval Spectrum | p4m2n3s3d2t |
Distribution Spectra | <1> = {1,2,3} <2> = {2,3,4,5} <3> = {4,5,6,7,8} <4> = {7,8,9,10} <5> = {9,10,11} |
Spectra Variation | 2.333 |
Maximally Even | no |
Maximal Area Set | no |
Interior Area | 2.366 |
Myhill Property | no |
Balanced | no |
Ridge Tones | none |
Propriety | Improper |
Heliotonic | no |
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 | G♯ | {8,0,3} | 2 | 2 | 1 |
B | {11,3,6} | 2 | 2 | 1 | |
Minor Triads | g♯m | {8,11,3} | 2 | 2 | 1 |
Diminished Triads | c° | {0,3,6} | 2 | 2 | 1 |
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 | 2 |
---|---|
Radius | 2 |
Self-Centered | yes |
Modes are the rotational transformation of this scale. Scale 2379 can be rotated to make 5 other scales. The 1st mode is itself.
2nd mode: Scale 3237 | ![]() | Raga Brindabani Sarang | |||
3rd mode: Scale 1833 | ![]() | Ionacrimic | |||
4th mode: Scale 741 | ![]() | Gathimic | |||
5th mode: Scale 1209 | ![]() | Raga Bhanumanjari | |||
6th mode: Scale 663 | ![]() | Phrynimic | This is the prime mode |
The prime form of this scale is Scale 663
Scale 663 | ![]() | Phrynimic |
The hexatonic modal family [2379, 3237, 1833, 741, 1209, 663] (Forte: 6-Z47) is the complement of the hexatonic modal family [363, 1419, 1581, 1713, 2229, 2757] (Forte: 6-Z25)
The inverse of a scale is a reflection using the root as its axis. The inverse of 2379 is 2643
Scale 2643 | ![]() | Raga Hamsanandi |
Only scales that are chiral will have an enantiomorph. Scale 2379 is chiral, and its enantiomorph is scale 2643
Scale 2643 | ![]() | Raga Hamsanandi |
T0 | 2379 | T0I | 2643 | |||||
T1 | 663 | T1I | 1191 | |||||
T2 | 1326 | T2I | 2382 | |||||
T3 | 2652 | T3I | 669 | |||||
T4 | 1209 | T4I | 1338 | |||||
T5 | 2418 | T5I | 2676 | |||||
T6 | 741 | T6I | 1257 | |||||
T7 | 1482 | T7I | 2514 | |||||
T8 | 2964 | T8I | 933 | |||||
T9 | 1833 | T9I | 1866 | |||||
T10 | 3666 | T10I | 3732 | |||||
T11 | 3237 | T11I | 3369 |
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 2377 | ![]() | Bartók Gamma Chord | ||
Scale 2381 | ![]() | Takemitsu Linea Mode 1 | ||
Scale 2383 | ![]() | Katorian | ||
Scale 2371 | ![]() | |||
Scale 2375 | ![]() | Aeolaptimic | ||
Scale 2387 | ![]() | Paptimic | ||
Scale 2395 | ![]() | Zoptian | ||
Scale 2411 | ![]() | Aeolorian | ||
Scale 2315 | ![]() | |||
Scale 2347 | ![]() | Raga Viyogavarali | ||
Scale 2443 | ![]() | Panimic | ||
Scale 2507 | ![]() | Todi That | ||
Scale 2123 | ![]() | |||
Scale 2251 | ![]() | Zodimic | ||
Scale 2635 | ![]() | Gocrimic | ||
Scale 2891 | ![]() | Phrogian | ||
Scale 3403 | ![]() | Bylian | ||
Scale 331 | ![]() | Raga Chhaya Todi | ||
Scale 1355 | ![]() | Raga Bhavani |
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.