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Scale 3607

Scale 3607, 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{0,1,2,4,9,10,11}
Forte Number7-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3343
Hemitonia5 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 191
Deep Scaleno
Interval Vector554331
Interval Spectrump3m3n4s5d5t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6,7}
<3> = {3,4,7,8}
<4> = {4,5,8,9}
<5> = {5,6,9,10}
<6> = {7,10,11}
Spectra Variation4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3607 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3851
Scale 3851, Ian Ring Music Theory
3rd mode:
Scale 3973
Scale 3973, Ian Ring Music Theory
4th mode:
Scale 2017
Scale 2017, Ian Ring Music Theory
5th mode:
Scale 191
Scale 191, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2143
Scale 2143, Ian Ring Music Theory
7th mode:
Scale 3119
Scale 3119, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 191

Scale 191Scale 191, Ian Ring Music Theory

Complement

The heptatonic modal family [3607, 3851, 3973, 2017, 191, 2143, 3119] (Forte: 7-2) is the complement of the pentatonic modal family [47, 1921, 2071, 3083, 3589] (Forte: 5-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3607 is 3343

Scale 3343Scale 3343, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3607 is chiral, and its enantiomorph is scale 3343

Scale 3343Scale 3343, Ian Ring Music Theory

Transformations:

T0 3607  T0I 3343
T1 3119  T1I 2591
T2 2143  T2I 1087
T3 191  T3I 2174
T4 382  T4I 253
T5 764  T5I 506
T6 1528  T6I 1012
T7 3056  T7I 2024
T8 2017  T8I 4048
T9 4034  T9I 4001
T10 3973  T10I 3907
T11 3851  T11I 3719

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 3605Scale 3605, Ian Ring Music Theory
Scale 3603Scale 3603, Ian Ring Music Theory
Scale 3611Scale 3611, Ian Ring Music Theory
Scale 3615Scale 3615, Ian Ring Music Theory
Scale 3591Scale 3591, Ian Ring Music Theory
Scale 3599Scale 3599, Ian Ring Music Theory
Scale 3623Scale 3623: Aerocrian, Ian Ring Music TheoryAerocrian
Scale 3639Scale 3639: Paptyllic, Ian Ring Music TheoryPaptyllic
Scale 3671Scale 3671: Aeonyllic, Ian Ring Music TheoryAeonyllic
Scale 3735Scale 3735, Ian Ring Music Theory
Scale 3863Scale 3863: Eparyllic, Ian Ring Music TheoryEparyllic
Scale 3095Scale 3095, Ian Ring Music Theory
Scale 3351Scale 3351: Karian, Ian Ring Music TheoryKarian
Scale 2583Scale 2583, Ian Ring Music Theory
Scale 1559Scale 1559, 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.