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Scale 3107

Scale 3107, 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{0,1,5,10,11}
Forte Number5-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2183
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes4
Prime?no
prime: 143
Deep Scaleno
Interval Vector321121
Interval Spectrump2mns2d3t
Distribution Spectra<1> = {1,4,5}
<2> = {2,5,6,9}
<3> = {3,6,7,10}
<4> = {7,8,11}
Spectra Variation4.4
Maximally Evenno
Maximal Area Setno
Interior Area1.433
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 Triadsa♯m{10,1,5}000

Since there is only one common triad in this scale, there are no opportunities for parsimonious voice leading between triads.

Modes

Modes are the rotational transformation of this scale. Scale 3107 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3601
Scale 3601, Ian Ring Music Theory
3rd mode:
Scale 481
Scale 481, Ian Ring Music Theory
4th mode:
Scale 143
Scale 143, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2119
Scale 2119, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 143

Scale 143Scale 143, Ian Ring Music Theory

Complement

The pentatonic modal family [3107, 3601, 481, 143, 2119] (Forte: 5-5) is the complement of the heptatonic modal family [239, 1927, 2167, 3011, 3131, 3553, 3613] (Forte: 7-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3107 is 2183

Scale 2183Scale 2183, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3107 is chiral, and its enantiomorph is scale 2183

Scale 2183Scale 2183, Ian Ring Music Theory

Transformations:

T0 3107  T0I 2183
T1 2119  T1I 271
T2 143  T2I 542
T3 286  T3I 1084
T4 572  T4I 2168
T5 1144  T5I 241
T6 2288  T6I 482
T7 481  T7I 964
T8 962  T8I 1928
T9 1924  T9I 3856
T10 3848  T10I 3617
T11 3601  T11I 3139

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 3105Scale 3105, Ian Ring Music Theory
Scale 3109Scale 3109, Ian Ring Music Theory
Scale 3111Scale 3111, Ian Ring Music Theory
Scale 3115Scale 3115, Ian Ring Music Theory
Scale 3123Scale 3123, Ian Ring Music Theory
Scale 3075Scale 3075, Ian Ring Music Theory
Scale 3091Scale 3091, Ian Ring Music Theory
Scale 3139Scale 3139, Ian Ring Music Theory
Scale 3171Scale 3171: Zythimic, Ian Ring Music TheoryZythimic
Scale 3235Scale 3235: Pothimic, Ian Ring Music TheoryPothimic
Scale 3363Scale 3363: Rogimic, Ian Ring Music TheoryRogimic
Scale 3619Scale 3619: Thanimic, Ian Ring Music TheoryThanimic
Scale 2083Scale 2083, Ian Ring Music Theory
Scale 2595Scale 2595: Rolitonic, Ian Ring Music TheoryRolitonic
Scale 1059Scale 1059, 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.