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Scale 2567

Scale 2567, 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

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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

Cardinality5 (pentatonic)
Pitch Class Set{0,1,2,9,11}
Forte Number5-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3083
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes4
Prime?no
prime: 47
Deep Scaleno
Interval Vector332110
Interval Spectrumpmn2s3d3
Distribution Spectra<1> = {1,2,7}
<2> = {2,3,8,9}
<3> = {3,4,9,10}
<4> = {5,10,11}
Spectra Variation5.2
Maximally Evenno
Maximal Area Setno
Interior Area0.933
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2567 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3331
Scale 3331, Ian Ring Music Theory
3rd mode:
Scale 3713
Scale 3713, Ian Ring Music Theory
4th mode:
Scale 61
Scale 61, Ian Ring Music Theory
5th mode:
Scale 1039
Scale 1039, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 47

Scale 47Scale 47, Ian Ring Music Theory

Complement

The pentatonic modal family [2567, 3331, 3713, 61, 1039] (Forte: 5-2) is the complement of the heptatonic modal family [191, 2017, 2143, 3119, 3607, 3851, 3973] (Forte: 7-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2567 is 3083

Scale 3083Scale 3083, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2567 is chiral, and its enantiomorph is scale 3083

Scale 3083Scale 3083, Ian Ring Music Theory

Transformations:

T0 2567  T0I 3083
T1 1039  T1I 2071
T2 2078  T2I 47
T3 61  T3I 94
T4 122  T4I 188
T5 244  T5I 376
T6 488  T6I 752
T7 976  T7I 1504
T8 1952  T8I 3008
T9 3904  T9I 1921
T10 3713  T10I 3842
T11 3331  T11I 3589

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 2565Scale 2565, Ian Ring Music Theory
Scale 2563Scale 2563, Ian Ring Music Theory
Scale 2571Scale 2571, Ian Ring Music Theory
Scale 2575Scale 2575, Ian Ring Music Theory
Scale 2583Scale 2583, Ian Ring Music Theory
Scale 2599Scale 2599: Malimic, Ian Ring Music TheoryMalimic
Scale 2631Scale 2631: Macrimic, Ian Ring Music TheoryMacrimic
Scale 2695Scale 2695, Ian Ring Music Theory
Scale 2823Scale 2823, Ian Ring Music Theory
Scale 2055Scale 2055, Ian Ring Music Theory
Scale 2311Scale 2311: Raga Kumarapriya, Ian Ring Music TheoryRaga Kumarapriya
Scale 3079Scale 3079, Ian Ring Music Theory
Scale 3591Scale 3591, Ian Ring Music Theory
Scale 519Scale 519, Ian Ring Music Theory
Scale 1543Scale 1543, 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.