The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 3523

Scale 3523, 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

Cardinality7 (heptatonic)
Pitch Class Set{0,1,6,7,8,10,11}
Forte Number7-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2167
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 239
Deep Scaleno
Interval Vector543342
Interval Spectrump4m3n3s4d5t2
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6}
<3> = {3,4,7}
<4> = {5,8,9}
<5> = {6,9,10}
<6> = {7,10,11}
Spectra Variation3.429
Maximally Evenno
Maximal Area Setno
Interior Area1.933
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

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
Major TriadsF♯{6,10,1}110.5
Diminished Triads{7,10,1}110.5
Parsimonious Voice Leading Between Common Triads of Scale 3523. Created by Ian Ring ©2019 F# F# F#->g°

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 3523 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3809
Scale 3809, Ian Ring Music Theory
3rd mode:
Scale 247
Scale 247, Ian Ring Music Theory
4th mode:
Scale 2171
Scale 2171, Ian Ring Music Theory
5th mode:
Scale 3133
Scale 3133, Ian Ring Music Theory
6th mode:
Scale 1807
Scale 1807, Ian Ring Music Theory
7th mode:
Scale 2951
Scale 2951, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 239

Scale 239Scale 239, Ian Ring Music Theory

Complement

The heptatonic modal family [3523, 3809, 247, 2171, 3133, 1807, 2951] (Forte: 7-5) is the complement of the pentatonic modal family [143, 481, 2119, 3107, 3601] (Forte: 5-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3523 is 2167

Scale 2167Scale 2167, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3523 is chiral, and its enantiomorph is scale 2167

Scale 2167Scale 2167, Ian Ring Music Theory

Transformations:

T0 3523  T0I 2167
T1 2951  T1I 239
T2 1807  T2I 478
T3 3614  T3I 956
T4 3133  T4I 1912
T5 2171  T5I 3824
T6 247  T6I 3553
T7 494  T7I 3011
T8 988  T8I 1927
T9 1976  T9I 3854
T10 3952  T10I 3613
T11 3809  T11I 3131

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 3521Scale 3521, Ian Ring Music Theory
Scale 3525Scale 3525: Zocrian, Ian Ring Music TheoryZocrian
Scale 3527Scale 3527: Ronyllic, Ian Ring Music TheoryRonyllic
Scale 3531Scale 3531: Neveseri, Ian Ring Music TheoryNeveseri
Scale 3539Scale 3539: Aeoryllic, Ian Ring Music TheoryAeoryllic
Scale 3555Scale 3555: Pylyllic, Ian Ring Music TheoryPylyllic
Scale 3459Scale 3459, Ian Ring Music Theory
Scale 3491Scale 3491: Tharian, Ian Ring Music TheoryTharian
Scale 3395Scale 3395, Ian Ring Music Theory
Scale 3267Scale 3267, Ian Ring Music Theory
Scale 3779Scale 3779, Ian Ring Music Theory
Scale 4035Scale 4035, Ian Ring Music Theory
Scale 2499Scale 2499, Ian Ring Music Theory
Scale 3011Scale 3011, Ian Ring Music Theory
Scale 1475Scale 1475, 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.