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Scale 3079

Scale 3079, 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

Cardinality5 (pentatonic)
Pitch Class Set{0,1,2,10,11}
Forte Number5-1
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections5
Modes4
Prime?no
prime: 31
Deep Scaleno
Interval Vector432100
Interval Spectrummn2s3d4
Distribution Spectra<1> = {1,8}
<2> = {2,9}
<3> = {3,10}
<4> = {4,11}
Spectra Variation5.6
Maximally Evenno
Myhill Propertyyes
Balancedno
Ridge Tones[0]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3079 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3587
Scale 3587, Ian Ring Music Theory
3rd mode:
Scale 3841
Scale 3841, Ian Ring Music Theory
4th mode:
Scale 31
Scale 31, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2063
Scale 2063, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 31

Scale 31Scale 31, Ian Ring Music Theory

Complement

The pentatonic modal family [3079, 3587, 3841, 31, 2063] (Forte: 5-1) is the complement of the heptatonic modal family [127, 2111, 3103, 3599, 3847, 3971, 4033] (Forte: 7-1)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3079 is itself, because it is a palindromic scale!

Scale 3079Scale 3079, Ian Ring Music Theory

Transformations:

T0 3079  T0I 3079
T1 2063  T1I 2063
T2 31  T2I 31
T3 62  T3I 62
T4 124  T4I 124
T5 248  T5I 248
T6 496  T6I 496
T7 992  T7I 992
T8 1984  T8I 1984
T9 3968  T9I 3968
T10 3841  T10I 3841
T11 3587  T11I 3587

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 3077Scale 3077, Ian Ring Music Theory
Scale 3075Scale 3075, Ian Ring Music Theory
Scale 3083Scale 3083, Ian Ring Music Theory
Scale 3087Scale 3087, Ian Ring Music Theory
Scale 3095Scale 3095, Ian Ring Music Theory
Scale 3111Scale 3111, Ian Ring Music Theory
Scale 3143Scale 3143: Polimic, Ian Ring Music TheoryPolimic
Scale 3207Scale 3207, Ian Ring Music Theory
Scale 3335Scale 3335, Ian Ring Music Theory
Scale 3591Scale 3591, Ian Ring Music Theory
Scale 2055Scale 2055, Ian Ring Music Theory
Scale 2567Scale 2567, Ian Ring Music Theory
Scale 1031Scale 1031, 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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.