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Scale 325: "Messiaen Truncated Mode 6"

Scale 325: Messiaen Truncated 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

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


Cardinality4 (tetratonic)
Pitch Class Set{0,2,6,8}
Forte Number4-25
Rotational Symmetry6 semitones
Reflection Axes1, 4
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Deep Scaleno
Interval Vector020202
Interval Spectrumm2s2t2
Distribution Spectra<1> = {2,4}
<2> = {6}
<3> = {8,10}
Spectra Variation1
Maximally Evenno
Maximal Area Setno
Interior Area1.732
Myhill Propertyno
Ridge Tones[2,8]
ProprietyStrictly Proper

Common Triads

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.


Modes are the rotational transformation of this scale. Scale 325 can be rotated to make 1 other scales. The 1st mode is itself.

2nd mode:
Scale 1105
Scale 1105: Messiaen Truncated Mode 6 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 6 Inverse


This is the prime form of this scale.


The tetratonic modal family [325, 1105] (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 325 is 1105

Scale 1105Scale 1105: Messiaen Truncated Mode 6 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 6 Inverse


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

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 327Scale 327: Syptitonic, Ian Ring Music TheorySyptitonic
Scale 321Scale 321, Ian Ring Music Theory
Scale 323Scale 323, Ian Ring Music Theory
Scale 329Scale 329: Mynic, Ian Ring Music TheoryMynic
Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic
Scale 341Scale 341: Bothitonic, Ian Ring Music TheoryBothitonic
Scale 357Scale 357: Banitonic, Ian Ring Music TheoryBanitonic
Scale 261Scale 261, Ian Ring Music Theory
Scale 293Scale 293: Raga Haripriya, Ian Ring Music TheoryRaga Haripriya
Scale 389Scale 389, Ian Ring Music Theory
Scale 453Scale 453: Raditonic, Ian Ring Music TheoryRaditonic
Scale 69Scale 69, Ian Ring Music Theory
Scale 197Scale 197, Ian Ring Music Theory
Scale 581Scale 581: Eporic, Ian Ring Music TheoryEporic
Scale 837Scale 837: Epaditonic, Ian Ring Music TheoryEpaditonic
Scale 1349Scale 1349: Tholitonic, Ian Ring Music TheoryTholitonic
Scale 2373Scale 2373: Dyptitonic, Ian Ring Music TheoryDyptitonic

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler ( used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.