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Scale 3521

Scale 3521, 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{0,6,7,8,10,11}
Forte Number6-Z4
Rotational Symmetrynone
Reflection Axes3
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
Myhill Propertyno
Balancedno
Ridge Tones[6]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3521 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 119
Scale 119, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2107
Scale 2107, Ian Ring Music Theory
4th mode:
Scale 3101
Scale 3101, Ian Ring Music Theory
5th mode:
Scale 1799
Scale 1799, Ian Ring Music Theory
6th mode:
Scale 2947
Scale 2947, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 119

Scale 119Scale 119, Ian Ring Music Theory

Complement

The hexatonic modal family [3521, 119, 2107, 3101, 1799, 2947] (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 3521 is 119

Scale 119Scale 119, Ian Ring Music Theory

Transformations:

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

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 3523Scale 3523, Ian Ring Music Theory
Scale 3525Scale 3525: Zocrian, Ian Ring Music TheoryZocrian
Scale 3529Scale 3529: Stalian, Ian Ring Music TheoryStalian
Scale 3537Scale 3537: Katogian, Ian Ring Music TheoryKatogian
Scale 3553Scale 3553, Ian Ring Music Theory
Scale 3457Scale 3457, Ian Ring Music Theory
Scale 3489Scale 3489, Ian Ring Music Theory
Scale 3393Scale 3393, Ian Ring Music Theory
Scale 3265Scale 3265, Ian Ring Music Theory
Scale 3777Scale 3777, Ian Ring Music Theory
Scale 4033Scale 4033, Ian Ring Music Theory
Scale 2497Scale 2497, Ian Ring Music Theory
Scale 3009Scale 3009, Ian Ring Music Theory
Scale 1473Scale 1473, 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.