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Cardinality | 4 (tetratonic) |
---|---|
Pitch Class Set | {0,4,10,11} |
Forte Number | 4-5 |
Rotational Symmetry | none |
Reflection Axes | none |
Palindromic | no |
Chirality | yes enantiomorph: 263 |
Hemitonia | 2 (dihemitonic) |
Cohemitonia | 1 (uncohemitonic) |
Imperfections | 3 |
Modes | 3 |
Prime? | no prime: 71 |
Deep Scale | no |
Interval Vector | 210111 |
Interval Spectrum | pmsd2t |
Distribution Spectra | <1> = {1,4,6} <2> = {2,5,7,10} <3> = {6,8,11} |
Spectra Variation | 4.5 |
Maximally Even | no |
Maximal Area Set | no |
Interior Area | 0.933 |
Myhill Property | no |
Balanced | no |
Ridge Tones | none |
Propriety | Improper |
Heliotonic | no |
There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.
Modes are the rotational transformation of this scale. Scale 3089 can be rotated to make 3 other scales. The 1st mode is itself.
The prime form of this scale is Scale 71
Scale 71 | ![]() |
The tetratonic modal family [3089, 449, 71, 2083] (Forte: 4-5) is the complement of the octatonic modal family [479, 1991, 2287, 3043, 3191, 3569, 3643, 3869] (Forte: 8-5)
The inverse of a scale is a reflection using the root as its axis. The inverse of 3089 is 263
Scale 263 | ![]() |
Only scales that are chiral will have an enantiomorph. Scale 3089 is chiral, and its enantiomorph is scale 263
Scale 263 | ![]() |
T0 | 3089 | T0I | 263 | |||||
T1 | 2083 | T1I | 526 | |||||
T2 | 71 | T2I | 1052 | |||||
T3 | 142 | T3I | 2104 | |||||
T4 | 284 | T4I | 113 | |||||
T5 | 568 | T5I | 226 | |||||
T6 | 1136 | T6I | 452 | |||||
T7 | 2272 | T7I | 904 | |||||
T8 | 449 | T8I | 1808 | |||||
T9 | 898 | T9I | 3616 | |||||
T10 | 1796 | T10I | 3137 | |||||
T11 | 3592 | T11I | 2179 |
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 3091 | ![]() | |||
Scale 3093 | ![]() | |||
Scale 3097 | ![]() | |||
Scale 3073 | ![]() | |||
Scale 3081 | ![]() | |||
Scale 3105 | ![]() | |||
Scale 3121 | ![]() | |||
Scale 3153 | ![]() | Zathitonic | ||
Scale 3217 | ![]() | Molitonic | ||
Scale 3345 | ![]() | Zylitonic | ||
Scale 3601 | ![]() | |||
Scale 2065 | ![]() | |||
Scale 2577 | ![]() | |||
Scale 1041 | ![]() |
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.