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Scale 2371

Scale 2371, 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{0,1,6,8,11}
Forte Number5-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2131
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes4
Prime?no
prime: 167
Deep Scaleno
Interval Vector221131
Interval Spectrump3mns2d2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {2,4,5,6,7}
<3> = {5,6,7,8,10}
<4> = {7,9,10,11}
Spectra Variation3.6
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2371 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3233
Scale 3233, Ian Ring Music Theory
3rd mode:
Scale 229
Scale 229, Ian Ring Music Theory
4th mode:
Scale 1081
Scale 1081, Ian Ring Music Theory
5th mode:
Scale 647
Scale 647, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 167

Scale 167Scale 167, Ian Ring Music Theory

Complement

The pentatonic modal family [2371, 3233, 229, 1081, 647] (Forte: 5-14) is the complement of the heptatonic modal family [431, 1507, 1933, 2263, 2801, 3179, 3637] (Forte: 7-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2371 is 2131

Scale 2131Scale 2131, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2371 is chiral, and its enantiomorph is scale 2131

Scale 2131Scale 2131, Ian Ring Music Theory

Transformations:

T0 2371  T0I 2131
T1 647  T1I 167
T2 1294  T2I 334
T3 2588  T3I 668
T4 1081  T4I 1336
T5 2162  T5I 2672
T6 229  T6I 1249
T7 458  T7I 2498
T8 916  T8I 901
T9 1832  T9I 1802
T10 3664  T10I 3604
T11 3233  T11I 3113

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 2369Scale 2369, Ian Ring Music Theory
Scale 2373Scale 2373: Dyptitonic, Ian Ring Music TheoryDyptitonic
Scale 2375Scale 2375: Aeolaptimic, Ian Ring Music TheoryAeolaptimic
Scale 2379Scale 2379: Raga Gurjari Todi, Ian Ring Music TheoryRaga Gurjari Todi
Scale 2387Scale 2387: Paptimic, Ian Ring Music TheoryPaptimic
Scale 2403Scale 2403: Lycrimic, Ian Ring Music TheoryLycrimic
Scale 2307Scale 2307, Ian Ring Music Theory
Scale 2339Scale 2339: Raga Kshanika, Ian Ring Music TheoryRaga Kshanika
Scale 2435Scale 2435: Raga Deshgaur, Ian Ring Music TheoryRaga Deshgaur
Scale 2499Scale 2499, Ian Ring Music Theory
Scale 2115Scale 2115, Ian Ring Music Theory
Scale 2243Scale 2243, Ian Ring Music Theory
Scale 2627Scale 2627, Ian Ring Music Theory
Scale 2883Scale 2883, Ian Ring Music Theory
Scale 3395Scale 3395, Ian Ring Music Theory
Scale 323Scale 323, Ian Ring Music Theory
Scale 1347Scale 1347, 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.