The Exciting Universe Of Music Theory

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Scale 3611

Scale 3611, 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

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).


Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,4,9,10,11}
Forte Number7-4
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 2831
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
prime: 223
Deep Scaleno
Interval Vector544332
Interval Spectrump3m3n4s4d5t2
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6}
<3> = {3,4,7,8}
<4> = {4,5,8,9}
<5> = {6,9,10}
<6> = {7,10,11}
Spectra Variation3.714
Maximally Evenno
Maximal Area Setno
Interior Area1.933
Myhill Propertyno
Ridge Tonesnone

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 TriadsA{9,1,4}221
Minor Triadsam{9,0,4}221
Diminished Triads{9,0,3}131.5
Parsimonious Voice Leading Between Common Triads of Scale 3611. Created by Ian Ring ©2019 am am a°->am A A am->A a#° a#° A->a#°

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.

Central Verticesam, A
Peripheral Verticesa°, a♯°


Modes are the rotational transformation of this scale. Scale 3611 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3853
Scale 3853, Ian Ring Music Theory
3rd mode:
Scale 1987
Scale 1987, Ian Ring Music Theory
4th mode:
Scale 3041
Scale 3041, Ian Ring Music Theory
5th mode:
Scale 223
Scale 223, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2159
Scale 2159, Ian Ring Music Theory
7th mode:
Scale 3127
Scale 3127, Ian Ring Music Theory


The prime form of this scale is Scale 223

Scale 223Scale 223, Ian Ring Music Theory


The heptatonic modal family [3611, 3853, 1987, 3041, 223, 2159, 3127] (Forte: 7-4) is the complement of the pentatonic modal family [79, 961, 2087, 3091, 3593] (Forte: 5-4)


The inverse of a scale is a reflection using the root as its axis. The inverse of 3611 is 2831

Scale 2831Scale 2831, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 3611 is chiral, and its enantiomorph is scale 2831

Scale 2831Scale 2831, Ian Ring Music Theory


T0 3611  T0I 2831
T1 3127  T1I 1567
T2 2159  T2I 3134
T3 223  T3I 2173
T4 446  T4I 251
T5 892  T5I 502
T6 1784  T6I 1004
T7 3568  T7I 2008
T8 3041  T8I 4016
T9 1987  T9I 3937
T10 3974  T10I 3779
T11 3853  T11I 3463

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 3609Scale 3609, Ian Ring Music Theory
Scale 3613Scale 3613, Ian Ring Music Theory
Scale 3615Scale 3615, Ian Ring Music Theory
Scale 3603Scale 3603, Ian Ring Music Theory
Scale 3607Scale 3607, Ian Ring Music Theory
Scale 3595Scale 3595, Ian Ring Music Theory
Scale 3627Scale 3627: Kalian, Ian Ring Music TheoryKalian
Scale 3643Scale 3643: Kydyllic, Ian Ring Music TheoryKydyllic
Scale 3675Scale 3675: Monyllic, Ian Ring Music TheoryMonyllic
Scale 3739Scale 3739: Epanyllic, Ian Ring Music TheoryEpanyllic
Scale 3867Scale 3867: Storyllic, Ian Ring Music TheoryStoryllic
Scale 3099Scale 3099, Ian Ring Music Theory
Scale 3355Scale 3355: Bagian, Ian Ring Music TheoryBagian
Scale 2587Scale 2587, Ian Ring Music Theory
Scale 1563Scale 1563, 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 ( 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.