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Scale 2755

Scale 2755, 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

Cardinality6 (hexatonic)
Pitch Class Set{0,1,6,7,9,11}
Forte Number6-Z12
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2155
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 215
Deep Scaleno
Interval Vector332232
Interval Spectrump3m2n2s3d3t2
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,4,6}
<3> = {4,5,7,8}
<4> = {6,8,9,10}
<5> = {7,10,11}
Spectra Variation3.333
Maximally Evenno
Maximal Area Setno
Interior Area1.866
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2755 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3425
Scale 3425, Ian Ring Music Theory
3rd mode:
Scale 235
Scale 235, Ian Ring Music Theory
4th mode:
Scale 2165
Scale 2165, Ian Ring Music Theory
5th mode:
Scale 1565
Scale 1565, Ian Ring Music Theory
6th mode:
Scale 1415
Scale 1415, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 215

Scale 215Scale 215, Ian Ring Music Theory

Complement

The hexatonic modal family [2755, 3425, 235, 2165, 1565, 1415] (Forte: 6-Z12) is the complement of the hexatonic modal family [335, 965, 1265, 2215, 3155, 3625] (Forte: 6-Z41)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2755 is 2155

Scale 2155Scale 2155, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2755 is chiral, and its enantiomorph is scale 2155

Scale 2155Scale 2155, Ian Ring Music Theory

Transformations:

T0 2755  T0I 2155
T1 1415  T1I 215
T2 2830  T2I 430
T3 1565  T3I 860
T4 3130  T4I 1720
T5 2165  T5I 3440
T6 235  T6I 2785
T7 470  T7I 1475
T8 940  T8I 2950
T9 1880  T9I 1805
T10 3760  T10I 3610
T11 3425  T11I 3125

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 2753Scale 2753, Ian Ring Music Theory
Scale 2757Scale 2757: Raga Nishadi, Ian Ring Music TheoryRaga Nishadi
Scale 2759Scale 2759: Mela Pavani, Ian Ring Music TheoryMela Pavani
Scale 2763Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi
Scale 2771Scale 2771: Marva That, Ian Ring Music TheoryMarva That
Scale 2787Scale 2787: Zyrian, Ian Ring Music TheoryZyrian
Scale 2691Scale 2691, Ian Ring Music Theory
Scale 2723Scale 2723: Raga Jivantika, Ian Ring Music TheoryRaga Jivantika
Scale 2627Scale 2627, Ian Ring Music Theory
Scale 2883Scale 2883, Ian Ring Music Theory
Scale 3011Scale 3011, Ian Ring Music Theory
Scale 2243Scale 2243, Ian Ring Music Theory
Scale 2499Scale 2499, Ian Ring Music Theory
Scale 3267Scale 3267, Ian Ring Music Theory
Scale 3779Scale 3779, Ian Ring Music Theory
Scale 707Scale 707, Ian Ring Music Theory
Scale 1731Scale 1731, 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.