The Exciting Universe Of Music Theory

more than you ever wanted to know about...

Scale 1105: "Messiaen Truncated Mode 6 Inverse"

Scale 1105: Messiaen Truncated 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

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 Truncated Mode 6 Inverse


Cardinality4 (tetratonic)
Pitch Class Set{0,4,6,10}
Forte Number4-25
Rotational Symmetry6 semitones
Reflection Axes2, 5
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
prime: 325
Deep Scaleno
Interval Vector020202
Interval Spectrumm2s2t2
Distribution Spectra<1> = {2,4}
<2> = {6}
<3> = {8,10}
Spectra Variation1
Maximally Evenno
Myhill Propertyno
Ridge Tones[4,10]
ProprietyStrictly Proper


Modes are the rotational transformation of this scale. Scale 1105 can be rotated to make 1 other scales. The 1st mode is itself.

2nd mode:
Scale 325
Scale 325: Messiaen Truncated Mode 6, Ian Ring Music TheoryMessiaen Truncated Mode 6This is the prime mode


The prime form of this scale is Scale 325

Scale 325Scale 325: Messiaen Truncated Mode 6, Ian Ring Music TheoryMessiaen Truncated Mode 6


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


The inverse of a scale is a reflection using the root as its axis. The inverse of 1105 is 325

Scale 325Scale 325: Messiaen Truncated Mode 6, Ian Ring Music TheoryMessiaen Truncated Mode 6


T0 1105  T0I 325
T1 2210  T1I 650
T2 325  T2I 1300
T3 650  T3I 2600
T4 1300  T4I 1105
T5 2600  T5I 2210
T6 1105  T6I 325
T7 2210  T7I 650
T8 325  T8I 1300
T9 650  T9I 2600
T10 1300  T10I 1105
T11 2600  T11I 2210

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 1107Scale 1107: Mogitonic, Ian Ring Music TheoryMogitonic
Scale 1109Scale 1109: Kataditonic, Ian Ring Music TheoryKataditonic
Scale 1113Scale 1113: Locrian Pentatonic 2, Ian Ring Music TheoryLocrian Pentatonic 2
Scale 1089Scale 1089, Ian Ring Music Theory
Scale 1097Scale 1097: Aeraphic, Ian Ring Music TheoryAeraphic
Scale 1121Scale 1121, Ian Ring Music Theory
Scale 1137Scale 1137: Stonitonic, Ian Ring Music TheoryStonitonic
Scale 1041Scale 1041, Ian Ring Music Theory
Scale 1073Scale 1073, Ian Ring Music Theory
Scale 1169Scale 1169: Raga Mahathi, Ian Ring Music TheoryRaga Mahathi
Scale 1233Scale 1233: Ionoditonic, Ian Ring Music TheoryIonoditonic
Scale 1361Scale 1361: Bolitonic, Ian Ring Music TheoryBolitonic
Scale 1617Scale 1617: Phronitonic, Ian Ring Music TheoryPhronitonic
Scale 81Scale 81, Ian Ring Music Theory
Scale 593Scale 593: Saric, Ian Ring Music TheorySaric
Scale 2129Scale 2129: Raga Nigamagamini, Ian Ring Music TheoryRaga Nigamagamini
Scale 3153Scale 3153: Zathitonic, Ian Ring Music TheoryZathitonic

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 ( Peruse this Bibliography.