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Cardinality | 7 (heptatonic) |
---|---|
Pitch Class Set | {0,1,2,4,5,7,9} |
Forte Number | 7-27 |
Rotational Symmetry | none |
Reflection Axes | none |
Palindromic | no |
Chirality | yes enantiomorph: 3497 |
Hemitonia | 3 (trihemitonic) |
Cohemitonia | 1 (uncohemitonic) |
Imperfections | 2 |
Modes | 6 |
Prime? | yes |
Deep Scale | no |
Interval Vector | 344451 |
Interval Spectrum | p5m4n4s4d3t |
Distribution Spectra | <1> = {1,2,3} <2> = {2,3,4,5} <3> = {4,5,6,7} <4> = {5,6,7,8} <5> = {7,8,9,10} <6> = {9,10,11} |
Spectra Variation | 2.286 |
Maximally Even | no |
Maximal Area Set | no |
Interior Area | 2.549 |
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 | {0,4,7} | 2 | 4 | 1.86 |
F | {5,9,0} | 2 | 3 | 1.57 | |
A | {9,1,4} | 3 | 2 | 1.29 | |
Minor Triads | dm | {2,5,9} | 1 | 4 | 2.14 |
am | {9,0,4} | 3 | 3 | 1.43 | |
Augmented Triads | C♯+ | {1,5,9} | 3 | 3 | 1.43 |
Diminished Triads | c♯° | {1,4,7} | 2 | 3 | 1.71 |
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 | A |
Peripheral Vertices | C, dm |
Modes are the rotational transformation of this scale. Scale 695 can be rotated to make 6 other scales. The 1st mode is itself.
2nd mode: Scale 2395 | ![]() | Zoptian | |||
3rd mode: Scale 3245 | ![]() | Mela Varunapriya | |||
4th mode: Scale 1835 | ![]() | Byptian | |||
5th mode: Scale 2965 | ![]() | Darian | |||
6th mode: Scale 1765 | ![]() | Lonian | |||
7th mode: Scale 1465 | ![]() | Mela Ragavardhani |
This is the prime form of this scale.
The heptatonic modal family [695, 2395, 3245, 1835, 2965, 1765, 1465] (Forte: 7-27) is the complement of the pentatonic modal family [299, 689, 1417, 1573, 2197] (Forte: 5-27)
The inverse of a scale is a reflection using the root as its axis. The inverse of 695 is 3497
Scale 3497 | ![]() | Phrolian |
Only scales that are chiral will have an enantiomorph. Scale 695 is chiral, and its enantiomorph is scale 3497
Scale 3497 | ![]() | Phrolian |
T0 | 695 | T0I | 3497 | |||||
T1 | 1390 | T1I | 2899 | |||||
T2 | 2780 | T2I | 1703 | |||||
T3 | 1465 | T3I | 3406 | |||||
T4 | 2930 | T4I | 2717 | |||||
T5 | 1765 | T5I | 1339 | |||||
T6 | 3530 | T6I | 2678 | |||||
T7 | 2965 | T7I | 1261 | |||||
T8 | 1835 | T8I | 2522 | |||||
T9 | 3670 | T9I | 949 | |||||
T10 | 3245 | T10I | 1898 | |||||
T11 | 2395 | T11I | 3796 |
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 693 | ![]() | Arezzo Major Diatonic Hexachord | ||
Scale 691 | ![]() | Raga Kalavati | ||
Scale 699 | ![]() | Aerothian | ||
Scale 703 | ![]() | Aerocryllic | ||
Scale 679 | ![]() | Lanimic | ||
Scale 687 | ![]() | Aeolythian | ||
Scale 663 | ![]() | Phrynimic | ||
Scale 727 | ![]() | Phradian | ||
Scale 759 | ![]() | Katalyllic | ||
Scale 567 | ![]() | Aeoladimic | ||
Scale 631 | ![]() | Zygian | ||
Scale 823 | ![]() | Stodian | ||
Scale 951 | ![]() | Thogyllic | ||
Scale 183 | ![]() | |||
Scale 439 | ![]() | Bythian | ||
Scale 1207 | ![]() | Aeoloptian | ||
Scale 1719 | ![]() | Lyryllic | ||
Scale 2743 | ![]() | Staptyllic |
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.