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Scale 2377: "Bartók Gamma Chord"

Scale 2377: Bartók Gamma Chord, 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

Named After Composers
Bartók Gamma Chord
Zeitler
Thoditonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,3,6,8,11}
Forte Number5-32
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 595
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 595
Deep Scaleno
Interval Vector113221
Interval Spectrump2m2n3sdt
Distribution Spectra<1> = {1,2,3}
<2> = {4,5,6}
<3> = {6,7,8}
<4> = {9,10,11}
Spectra Variation1.6
Maximally Evenno
Maximal Area Setno
Interior Area2.183
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
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
Major TriadsG♯{8,0,3}221
B{11,3,6}221
Minor Triadsg♯m{8,11,3}221
Diminished Triads{0,3,6}221
Parsimonious Voice Leading Between Common Triads of Scale 2377. Created by Ian Ring ©2019 G# G# c°->G# B B c°->B g#m g#m g#m->G# g#m->B

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter2
Radius2
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2377 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 809
Scale 809: Dogitonic, Ian Ring Music TheoryDogitonic
3rd mode:
Scale 613
Scale 613: Phralitonic, Ian Ring Music TheoryPhralitonic
4th mode:
Scale 1177
Scale 1177: Garitonic, Ian Ring Music TheoryGaritonic
5th mode:
Scale 659
Scale 659: Raga Rasika Ranjani, Ian Ring Music TheoryRaga Rasika Ranjani

Prime

The prime form of this scale is Scale 595

Scale 595Scale 595: Sogitonic, Ian Ring Music TheorySogitonic

Complement

The pentatonic modal family [2377, 809, 613, 1177, 659] (Forte: 5-32) is the complement of the heptatonic modal family [859, 1459, 1643, 1741, 2477, 2777, 2869] (Forte: 7-32)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2377 is 595

Scale 595Scale 595: Sogitonic, Ian Ring Music TheorySogitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2377 is chiral, and its enantiomorph is scale 595

Scale 595Scale 595: Sogitonic, Ian Ring Music TheorySogitonic

Transformations:

T0 2377  T0I 595
T1 659  T1I 1190
T2 1318  T2I 2380
T3 2636  T3I 665
T4 1177  T4I 1330
T5 2354  T5I 2660
T6 613  T6I 1225
T7 1226  T7I 2450
T8 2452  T8I 805
T9 809  T9I 1610
T10 1618  T10I 3220
T11 3236  T11I 2345

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 2379Scale 2379: Raga Gurjari Todi, Ian Ring Music TheoryRaga Gurjari Todi
Scale 2381Scale 2381: Takemitsu Linea Mode 1, Ian Ring Music TheoryTakemitsu Linea Mode 1
Scale 2369Scale 2369, Ian Ring Music Theory
Scale 2373Scale 2373: Dyptitonic, Ian Ring Music TheoryDyptitonic
Scale 2385Scale 2385: Aeolanitonic, Ian Ring Music TheoryAeolanitonic
Scale 2393Scale 2393: Zathimic, Ian Ring Music TheoryZathimic
Scale 2409Scale 2409: Zacrimic, Ian Ring Music TheoryZacrimic
Scale 2313Scale 2313, Ian Ring Music Theory
Scale 2345Scale 2345: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 2441Scale 2441: Kyritonic, Ian Ring Music TheoryKyritonic
Scale 2505Scale 2505: Mydimic, Ian Ring Music TheoryMydimic
Scale 2121Scale 2121, Ian Ring Music Theory
Scale 2249Scale 2249: Raga Multani, Ian Ring Music TheoryRaga Multani
Scale 2633Scale 2633: Bartók Beta Chord, Ian Ring Music TheoryBartók Beta Chord
Scale 2889Scale 2889: Thoptimic, Ian Ring Music TheoryThoptimic
Scale 3401Scale 3401: Palimic, Ian Ring Music TheoryPalimic
Scale 329Scale 329: Mynic, Ian Ring Music TheoryMynic
Scale 1353Scale 1353: Raga Harikauns, Ian Ring Music TheoryRaga Harikauns

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.