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Scale 1365: "Whole Tone"

Scale 1365: Whole Tone, 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

Western
Whole Tone
Messiaen
Messiaen Mode 1
Carnatic Raga
Raga Gopriya
Western Modern
Anhemitonic Hexatonic
Anhemic Hexatonic
Auxiliary Augmented
Zeitler
Kylimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,4,6,8,10}
Forte Number6-35
Rotational Symmetry2, 4, 6, 8, 10 semitones
Reflection Axes0, 1, 2, 3, 4, 5
Palindromicyes
Chiralityno
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections6
Modes0
Prime?yes
Deep Scaleno
Interval Vector060603
Interval Spectrumm6s6t3
Distribution Spectra<1> = {2}
<2> = {4}
<3> = {6}
<4> = {8}
<5> = {10}
Spectra Variation0
Maximally Evenyes
Maximal Area Setyes
Interior Area2.598
Myhill Propertyno
Balancedyes
Ridge Tones[0,2,4,6,8,10]
ProprietyStrictly Proper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Augmented TriadsC+{0,4,8}0n/an/a
D+{2,6,10}0n/an/a
Parsimonious Voice Leading Between Common Triads of Scale 1365. Created by Ian Ring ©2019 C+ C+ D+ D+

Above is a graph showing opportunities for parsimonious voice leading between triads*. There are no lines connecting nodes in the graph, because the chords are not adjacent with common tones.

Diametern/a
Radiusn/a
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. This scale has no modes, becaue any rotation of this scale will produce another copy of itself.

Prime

This is the prime form of this scale.

Complement

The hexatonic modal family [1365] (Forte: 6-35) is the complement of the hexatonic modal family [1365] (Forte: 6-35)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1365 is itself, because it is a palindromic scale!

Scale 1365Scale 1365: Whole Tone, Ian Ring Music TheoryWhole Tone

Transformations:

T0 1365  T0I 1365
T1 2730  T1I 2730
T2 1365  T2I 1365
T3 2730  T3I 2730
T4 1365  T4I 1365
T5 2730  T5I 2730
T6 1365  T6I 1365
T7 2730  T7I 2730
T8 1365  T8I 1365
T9 2730  T9I 2730
T10 1365  T10I 1365
T11 2730  T11I 2730

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 1367Scale 1367: Leading Whole-Tone Inverse, Ian Ring Music TheoryLeading Whole-Tone Inverse
Scale 1361Scale 1361: Bolitonic, Ian Ring Music TheoryBolitonic
Scale 1363Scale 1363: Gygimic, Ian Ring Music TheoryGygimic
Scale 1369Scale 1369: Boptimic, Ian Ring Music TheoryBoptimic
Scale 1373Scale 1373: Storian, Ian Ring Music TheoryStorian
Scale 1349Scale 1349: Tholitonic, Ian Ring Music TheoryTholitonic
Scale 1357Scale 1357: Takemitsu Linea Mode 2, Ian Ring Music TheoryTakemitsu Linea Mode 2
Scale 1381Scale 1381: Padimic, Ian Ring Music TheoryPadimic
Scale 1397Scale 1397: Major Locrian, Ian Ring Music TheoryMajor Locrian
Scale 1301Scale 1301: Koditonic, Ian Ring Music TheoryKoditonic
Scale 1333Scale 1333: Lyptimic, Ian Ring Music TheoryLyptimic
Scale 1429Scale 1429: Bythimic, Ian Ring Music TheoryBythimic
Scale 1493Scale 1493: Lydian Minor, Ian Ring Music TheoryLydian Minor
Scale 1109Scale 1109: Kataditonic, Ian Ring Music TheoryKataditonic
Scale 1237Scale 1237: Salimic, Ian Ring Music TheorySalimic
Scale 1621Scale 1621: Scriabin's Prometheus, Ian Ring Music TheoryScriabin's Prometheus
Scale 1877Scale 1877: Aeroptian, Ian Ring Music TheoryAeroptian
Scale 341Scale 341: Bothitonic, Ian Ring Music TheoryBothitonic
Scale 853Scale 853: Epothimic, Ian Ring Music TheoryEpothimic
Scale 2389Scale 2389: Eskimo Hexatonic 2, Ian Ring Music TheoryEskimo Hexatonic 2
Scale 3413Scale 3413: Leading Whole-tone, Ian Ring Music TheoryLeading Whole-tone

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 (http://allthescales.org) 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. Special thanks to Richard Repp for helping with technical accuracy.