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Scale 1495: "Messiaen Mode 6"

Scale 1495: Messiaen Mode 6, 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).

Common Names

Messiaen
Messiaen Mode 6
Zeitler
Pygyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,4,6,7,8,10}
Forte Number8-25
Rotational Symmetry6 semitones
Reflection Axes1, 4
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes3
Prime?yes
Deep Scaleno
Interval Vector464644
Interval Spectrump4m6n4s6d4t4
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {4,5}
<4> = {6}
<5> = {7,8}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1
Maximally Evenno
Myhill Propertyno
Balancedyes
Ridge Tones[2,8]
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1495 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 2795
Scale 2795: Van der Horst Octatonic, Ian Ring Music TheoryVan der Horst Octatonic
3rd mode:
Scale 3445
Scale 3445: Messiaen Mode 6 Inverse, Ian Ring Music TheoryMessiaen Mode 6 Inverse
4th mode:
Scale 1885
Scale 1885: Saptyllic, Ian Ring Music TheorySaptyllic

Prime

This is the prime form of this scale.

Complement

The octatonic modal family [1495, 2795, 3445, 1885] (Forte: 8-25) is the complement of the tetratonic modal family [325, 1105] (Forte: 4-25)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1495 is 3445

Scale 3445Scale 3445: Messiaen Mode 6 Inverse, Ian Ring Music TheoryMessiaen Mode 6 Inverse

Transformations:

T0 1495  T0I 3445
T1 2990  T1I 2795
T2 1885  T2I 1495
T3 3770  T3I 2990
T4 3445  T4I 1885
T5 2795  T5I 3770
T6 1495  T6I 3445
T7 2990  T7I 2795
T8 1885  T8I 1495
T9 3770  T9I 2990
T10 3445  T10I 1885
T11 2795  T11I 3770

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 1493Scale 1493: Lydian Minor, Ian Ring Music TheoryLydian Minor
Scale 1491Scale 1491: Mela Namanarayani, Ian Ring Music TheoryMela Namanarayani
Scale 1499Scale 1499: Bebop Locrian, Ian Ring Music TheoryBebop Locrian
Scale 1503Scale 1503: Epiryllian, Ian Ring Music TheoryEpiryllian
Scale 1479Scale 1479: Mela Jalarnava, Ian Ring Music TheoryMela Jalarnava
Scale 1487Scale 1487: Mothyllic, Ian Ring Music TheoryMothyllic
Scale 1511Scale 1511: Styptyllic, Ian Ring Music TheoryStyptyllic
Scale 1527Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic
Scale 1431Scale 1431: Phragian, Ian Ring Music TheoryPhragian
Scale 1463Scale 1463, Ian Ring Music Theory
Scale 1367Scale 1367: Leading Whole-Tone Inverse, Ian Ring Music TheoryLeading Whole-Tone Inverse
Scale 1239Scale 1239: Epaptian, Ian Ring Music TheoryEpaptian
Scale 1751Scale 1751: Aeolyryllic, Ian Ring Music TheoryAeolyryllic
Scale 2007Scale 2007: Stonygic, Ian Ring Music TheoryStonygic
Scale 471Scale 471: Dodian, Ian Ring Music TheoryDodian
Scale 983Scale 983: Thocryllic, Ian Ring Music TheoryThocryllic
Scale 2519Scale 2519: Dathyllic, Ian Ring Music TheoryDathyllic
Scale 3543Scale 3543: Aeolonygic, Ian Ring Music TheoryAeolonygic

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.