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Scale 3445: "Messiaen Mode 6 Inverse"

Scale 3445: Messiaen Mode 6 Inverse, 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

41161837294116105072918310504116183
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 Inverse
Sixth Mode Of Limited Transposition
Zeitler
Thalyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,4,5,6,8,10,11}
Forte Number8-25
Rotational Symmetry6 semitones
Reflection Axes2, 5
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes3
Prime?no
prime: 1495
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[4,10]
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3445 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1885
Scale 1885: Saptyllic, Ian Ring Music TheorySaptyllic
3rd mode:
Scale 1495
Scale 1495: Messiaen Mode 6, Ian Ring Music TheoryMessiaen Mode 6This is the prime mode
4th mode:
Scale 2795
Scale 2795: Van der Horst Octatonic, Ian Ring Music TheoryVan der Horst Octatonic

Prime

The prime form of this scale is Scale 1495

Scale 1495Scale 1495: Messiaen Mode 6, Ian Ring Music TheoryMessiaen Mode 6

Complement

The octatonic modal family [3445, 1885, 1495, 2795] (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 3445 is 1495

Scale 1495Scale 1495: Messiaen Mode 6, Ian Ring Music TheoryMessiaen Mode 6

Transformations:

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

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 3447Scale 3447: Mogyllian, Ian Ring Music TheoryMogyllian
Scale 3441Scale 3441: Thacrian, Ian Ring Music TheoryThacrian
Scale 3443Scale 3443: Verdi's Scala Enigmatica, Ian Ring Music TheoryVerdi's Scala Enigmatica
Scale 3449Scale 3449: Bacryllic, Ian Ring Music TheoryBacryllic
Scale 3453Scale 3453: Katarygic, Ian Ring Music TheoryKatarygic
Scale 3429Scale 3429: Marian, Ian Ring Music TheoryMarian
Scale 3437Scale 3437, Ian Ring Music Theory
Scale 3413Scale 3413: Leading Whole-tone, Ian Ring Music TheoryLeading Whole-tone
Scale 3381Scale 3381: Katanian, Ian Ring Music TheoryKatanian
Scale 3509Scale 3509: Stogyllic, Ian Ring Music TheoryStogyllic
Scale 3573Scale 3573: Kaptygic, Ian Ring Music TheoryKaptygic
Scale 3189Scale 3189: Aeolonian, Ian Ring Music TheoryAeolonian
Scale 3317Scale 3317: Katynyllic, Ian Ring Music TheoryKatynyllic
Scale 3701Scale 3701: Bagyllic, Ian Ring Music TheoryBagyllic
Scale 3957Scale 3957: Porygic, Ian Ring Music TheoryPorygic
Scale 2421Scale 2421: Malian, Ian Ring Music TheoryMalian
Scale 2933Scale 2933, Ian Ring Music Theory
Scale 1397Scale 1397: Major Locrian, Ian Ring Music TheoryMajor Locrian

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.