The Exciting Universe Of Music Theory

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Scale 2017

Scale 2017, 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{0,5,6,7,8,9,10}
Forte Number7-2
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 253
Hemitonia5 (multihemitonic)
Cohemitonia4 (multicohemitonic)
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
Maximal Area Setno
Interior Area1.933
Myhill Propertyno
Ridge Tonesnone

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{5,9,0}210.67
Minor Triadsfm{5,8,0}121
Diminished Triadsf♯°{6,9,0}121
Parsimonious Voice Leading Between Common Triads of Scale 2017. Created by Ian Ring ©2019 fm fm F F fm->F f#° f#° F->f#°

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 VerticesF
Peripheral Verticesfm, f♯°


Modes are the rotational transformation of this scale. Scale 2017 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 191
Scale 191, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2143
Scale 2143, Ian Ring Music Theory
4th mode:
Scale 3119
Scale 3119, Ian Ring Music Theory
5th mode:
Scale 3607
Scale 3607, Ian Ring Music Theory
6th mode:
Scale 3851
Scale 3851, Ian Ring Music Theory
7th mode:
Scale 3973
Scale 3973, Ian Ring Music Theory


The prime form of this scale is Scale 191

Scale 191Scale 191, Ian Ring Music Theory


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


The inverse of a scale is a reflection using the root as its axis. The inverse of 2017 is 253

Scale 253Scale 253, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 2017 is chiral, and its enantiomorph is scale 253

Scale 253Scale 253, Ian Ring Music Theory


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

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 2019Scale 2019: Palyllic, Ian Ring Music TheoryPalyllic
Scale 2021Scale 2021: Katycryllic, Ian Ring Music TheoryKatycryllic
Scale 2025Scale 2025, Ian Ring Music Theory
Scale 2033Scale 2033: Stolyllic, Ian Ring Music TheoryStolyllic
Scale 1985Scale 1985, Ian Ring Music Theory
Scale 2001Scale 2001: Gydian, Ian Ring Music TheoryGydian
Scale 1953Scale 1953, Ian Ring Music Theory
Scale 1889Scale 1889, Ian Ring Music Theory
Scale 1761Scale 1761, Ian Ring Music Theory
Scale 1505Scale 1505, Ian Ring Music Theory
Scale 993Scale 993, Ian Ring Music Theory
Scale 3041Scale 3041, Ian Ring Music Theory
Scale 4065Scale 4065, 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.