The Exciting Universe Of Music Theory

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Scale 247

Scale 247, 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{0,1,2,4,5,6,7}
Forte Number7-5
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 3553
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
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
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 TriadsC{0,4,7}110.5
Diminished Triadsc♯°{1,4,7}110.5
Parsimonious Voice Leading Between Common Triads of Scale 247. Created by Ian Ring ©2019 C C c#° c#° C->c#°

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.



Modes are the rotational transformation of this scale. Scale 247 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2171
Scale 2171, Ian Ring Music Theory
3rd mode:
Scale 3133
Scale 3133, Ian Ring Music Theory
4th mode:
Scale 1807
Scale 1807, Ian Ring Music Theory
5th mode:
Scale 2951
Scale 2951, Ian Ring Music Theory
6th mode:
Scale 3523
Scale 3523, Ian Ring Music Theory
7th mode:
Scale 3809
Scale 3809, Ian Ring Music Theory


The prime form of this scale is Scale 239

Scale 239Scale 239, Ian Ring Music Theory


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


The inverse of a scale is a reflection using the root as its axis. The inverse of 247 is 3553

Scale 3553Scale 3553, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 247 is chiral, and its enantiomorph is scale 3553

Scale 3553Scale 3553, Ian Ring Music Theory


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

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 245Scale 245: Raga Dipak, Ian Ring Music TheoryRaga Dipak
Scale 243Scale 243, Ian Ring Music Theory
Scale 251Scale 251, Ian Ring Music Theory
Scale 255Scale 255, Ian Ring Music Theory
Scale 231Scale 231, Ian Ring Music Theory
Scale 239Scale 239, Ian Ring Music Theory
Scale 215Scale 215, Ian Ring Music Theory
Scale 183Scale 183, Ian Ring Music Theory
Scale 119Scale 119, Ian Ring Music Theory
Scale 375Scale 375: Sodian, Ian Ring Music TheorySodian
Scale 503Scale 503: Thoptyllic, Ian Ring Music TheoryThoptyllic
Scale 759Scale 759: Katalyllic, Ian Ring Music TheoryKatalyllic
Scale 1271Scale 1271: Kolyllic, Ian Ring Music TheoryKolyllic
Scale 2295Scale 2295: Kogyllic, Ian Ring Music TheoryKogyllic

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. Special thanks to Richard Repp for helping with technical accuracy.