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Scale 207

Scale 207, 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

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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

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,3,6,7}
Forte Number6-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3681
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?yes
Deep Scaleno
Interval Vector422232
Interval Spectrump3m2n2s2d4t2
Distribution Spectra<1> = {1,3,5}
<2> = {2,4,6}
<3> = {3,5,7,9}
<4> = {6,8,10}
<5> = {7,9,11}
Spectra Variation3.667
Maximally Evenno
Maximal Area Setno
Interior Area1.75
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

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 TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Minor Triadscm{0,3,7}110.5
Diminished Triads{0,3,6}110.5
Parsimonious Voice Leading Between Common Triads of Scale 207. Created by Ian Ring ©2019 cm cm c°->cm

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.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 207 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2151
Scale 2151, Ian Ring Music Theory
3rd mode:
Scale 3123
Scale 3123, Ian Ring Music Theory
4th mode:
Scale 3609
Scale 3609, Ian Ring Music Theory
5th mode:
Scale 963
Scale 963, Ian Ring Music Theory
6th mode:
Scale 2529
Scale 2529, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Complement

The hexatonic modal family [207, 2151, 3123, 3609, 963, 2529] (Forte: 6-5) is the complement of the hexatonic modal family [207, 963, 2151, 2529, 3123, 3609] (Forte: 6-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 207 is 3681

Scale 3681Scale 3681, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 207 is chiral, and its enantiomorph is scale 3681

Scale 3681Scale 3681, Ian Ring Music Theory

Transformations:

T0 207  T0I 3681
T1 414  T1I 3267
T2 828  T2I 2439
T3 1656  T3I 783
T4 3312  T4I 1566
T5 2529  T5I 3132
T6 963  T6I 2169
T7 1926  T7I 243
T8 3852  T8I 486
T9 3609  T9I 972
T10 3123  T10I 1944
T11 2151  T11I 3888

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 205Scale 205, Ian Ring Music Theory
Scale 203Scale 203, Ian Ring Music Theory
Scale 199Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga Nabhomani
Scale 215Scale 215, Ian Ring Music Theory
Scale 223Scale 223, Ian Ring Music Theory
Scale 239Scale 239, Ian Ring Music Theory
Scale 143Scale 143, Ian Ring Music Theory
Scale 175Scale 175, Ian Ring Music Theory
Scale 79Scale 79, Ian Ring Music Theory
Scale 335Scale 335: Zanimic, Ian Ring Music TheoryZanimic
Scale 463Scale 463: Zythian, Ian Ring Music TheoryZythian
Scale 719Scale 719: Kanian, Ian Ring Music TheoryKanian
Scale 1231Scale 1231: Logian, Ian Ring Music TheoryLogian
Scale 2255Scale 2255: Dylian, Ian Ring Music TheoryDylian

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.