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Scale 651: "Golitonic"

Scale 651: Golitonic, 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

Zeitler
Golitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,3,7,9}
Forte Number5-28
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2601
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 333
Deep Scaleno
Interval Vector122212
Interval Spectrumpm2n2s2dt2
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5,6}
<3> = {6,7,8,9}
<4> = {8,9,10,11}
Spectra Variation2.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 651 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2373
Scale 2373: Dyptitonic, Ian Ring Music TheoryDyptitonic
3rd mode:
Scale 1617
Scale 1617: Phronitonic, Ian Ring Music TheoryPhronitonic
4th mode:
Scale 357
Scale 357: Banitonic, Ian Ring Music TheoryBanitonic
5th mode:
Scale 1113
Scale 1113: Locrian Pentatonic 2, Ian Ring Music TheoryLocrian Pentatonic 2

Prime

The prime form of this scale is Scale 333

Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic

Complement

The pentatonic modal family [651, 2373, 1617, 357, 1113] (Forte: 5-28) is the complement of the heptatonic modal family [747, 1431, 1629, 1881, 2421, 2763, 3429] (Forte: 7-28)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 651 is 2601

Scale 2601Scale 2601: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 651 is chiral, and its enantiomorph is scale 2601

Scale 2601Scale 2601: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns

Transformations:

T0 651  T0I 2601
T1 1302  T1I 1107
T2 2604  T2I 2214
T3 1113  T3I 333
T4 2226  T4I 666
T5 357  T5I 1332
T6 714  T6I 2664
T7 1428  T7I 1233
T8 2856  T8I 2466
T9 1617  T9I 837
T10 3234  T10I 1674
T11 2373  T11I 3348

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 649Scale 649: Byptic, Ian Ring Music TheoryByptic
Scale 653Scale 653: Dorian Pentatonic, Ian Ring Music TheoryDorian Pentatonic
Scale 655Scale 655: Kataptimic, Ian Ring Music TheoryKataptimic
Scale 643Scale 643, Ian Ring Music Theory
Scale 647Scale 647, Ian Ring Music Theory
Scale 659Scale 659: Raga Rasika Ranjani, Ian Ring Music TheoryRaga Rasika Ranjani
Scale 667Scale 667: Rodimic, Ian Ring Music TheoryRodimic
Scale 683Scale 683: Stogimic, Ian Ring Music TheoryStogimic
Scale 715Scale 715: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2
Scale 523Scale 523, Ian Ring Music Theory
Scale 587Scale 587: Pathitonic, Ian Ring Music TheoryPathitonic
Scale 779Scale 779, Ian Ring Music Theory
Scale 907Scale 907: Tholimic, Ian Ring Music TheoryTholimic
Scale 139Scale 139, Ian Ring Music Theory
Scale 395Scale 395: Phrygian Pentatonic, Ian Ring Music TheoryPhrygian Pentatonic
Scale 1163Scale 1163: Raga Rukmangi, Ian Ring Music TheoryRaga Rukmangi
Scale 1675Scale 1675: Raga Salagavarali, Ian Ring Music TheoryRaga Salagavarali
Scale 2699Scale 2699: Sythimic, Ian Ring Music TheorySythimic

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.