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Scale 2107

Scale 2107, 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

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,4,5,11}
Forte Number6-Z4
Rotational Symmetrynone
Reflection Axes2
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes5
Prime?no
prime: 119
Deep Scaleno
Interval Vector432321
Interval Spectrump2m3n2s3d4t
Distribution Spectra<1> = {1,2,6}
<2> = {2,3,7}
<3> = {4,8}
<4> = {5,9,10}
<5> = {6,10,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.433
Myhill Propertyno
Balancedno
Ridge Tones[4]
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 2107 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3101
Scale 3101, Ian Ring Music Theory
3rd mode:
Scale 1799
Scale 1799, Ian Ring Music Theory
4th mode:
Scale 2947
Scale 2947, Ian Ring Music Theory
5th mode:
Scale 3521
Scale 3521, Ian Ring Music Theory
6th mode:
Scale 119
Scale 119, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 119

Scale 119Scale 119, Ian Ring Music Theory

Complement

The hexatonic modal family [2107, 3101, 1799, 2947, 3521, 119] (Forte: 6-Z4) is the complement of the hexatonic modal family [287, 497, 2191, 3143, 3619, 3857] (Forte: 6-Z37)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2107 is 2947

Scale 2947Scale 2947, Ian Ring Music Theory

Transformations:

T0 2107  T0I 2947
T1 119  T1I 1799
T2 238  T2I 3598
T3 476  T3I 3101
T4 952  T4I 2107
T5 1904  T5I 119
T6 3808  T6I 238
T7 3521  T7I 476
T8 2947  T8I 952
T9 1799  T9I 1904
T10 3598  T10I 3808
T11 3101  T11I 3521

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 2105Scale 2105, Ian Ring Music Theory
Scale 2109Scale 2109, Ian Ring Music Theory
Scale 2111Scale 2111, Ian Ring Music Theory
Scale 2099Scale 2099: Raga Megharanji, Ian Ring Music TheoryRaga Megharanji
Scale 2103Scale 2103, Ian Ring Music Theory
Scale 2091Scale 2091, Ian Ring Music Theory
Scale 2075Scale 2075, Ian Ring Music Theory
Scale 2139Scale 2139, Ian Ring Music Theory
Scale 2171Scale 2171, Ian Ring Music Theory
Scale 2235Scale 2235: Bathian, Ian Ring Music TheoryBathian
Scale 2363Scale 2363: Kataptian, Ian Ring Music TheoryKataptian
Scale 2619Scale 2619: Ionyrian, Ian Ring Music TheoryIonyrian
Scale 3131Scale 3131, Ian Ring Music Theory
Scale 59Scale 59, Ian Ring Music Theory
Scale 1083Scale 1083, 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.