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Scale 3089

Scale 3089, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

41161837294116105072918310504116183
Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,4,10,11}
Forte Number4-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 263
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes3
Prime?no
prime: 71
Deep Scaleno
Interval Vector210111
Interval Spectrumpmsd2t
Distribution Spectra<1> = {1,4,6}
<2> = {2,5,7,10}
<3> = {6,8,11}
Spectra Variation4.5
Maximally Evenno
Maximal Area Setno
Interior Area0.933
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.

Modes

Modes are the rotational transformation of this scale. Scale 3089 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 449
Scale 449, Ian Ring Music Theory
3rd mode:
Scale 71
Scale 71, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2083
Scale 2083, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 71

Scale 71Scale 71, Ian Ring Music Theory

Complement

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)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3089 is 263

Scale 263Scale 263, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3089 is chiral, and its enantiomorph is scale 263

Scale 263Scale 263, Ian Ring Music Theory

Transformations:

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

Nearby Scales:

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 3091Scale 3091, Ian Ring Music Theory
Scale 3093Scale 3093, Ian Ring Music Theory
Scale 3097Scale 3097, Ian Ring Music Theory
Scale 3073Scale 3073, Ian Ring Music Theory
Scale 3081Scale 3081, Ian Ring Music Theory
Scale 3105Scale 3105, Ian Ring Music Theory
Scale 3121Scale 3121, Ian Ring Music Theory
Scale 3153Scale 3153: Zathitonic, Ian Ring Music TheoryZathitonic
Scale 3217Scale 3217: Molitonic, Ian Ring Music TheoryMolitonic
Scale 3345Scale 3345: Zylitonic, Ian Ring Music TheoryZylitonic
Scale 3601Scale 3601, Ian Ring Music Theory
Scale 2065Scale 2065, Ian Ring Music Theory
Scale 2577Scale 2577, Ian Ring Music Theory
Scale 1041Scale 1041, Ian Ring Music Theory

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.