The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 597: "Kung"

Scale 597: Kung, 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

41161837294116105072918310504116183
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

Chinese
Kung
Zeitler
Thonitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,4,6,9}
Forte Number5-34
Rotational Symmetrynone
Reflection Axes3
Palindromicno
Chiralityno
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?yes
Deep Scaleno
Interval Vector032221
Interval Spectrump2m2n2s3t
Distribution Spectra<1> = {2,3}
<2> = {4,5,6}
<3> = {6,7,8}
<4> = {9,10}
Spectra Variation1.2
Maximally Evenno
Maximal Area Setyes
Interior Area2.299
Myhill Propertyno
Balancedno
Ridge Tones[6]
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 TriadsD{2,6,9}121
Minor Triadsam{9,0,4}121
Diminished Triadsf♯°{6,9,0}210.67
Parsimonious Voice Leading Between Common Triads of Scale 597. Created by Ian Ring ©2019 D D f#° f#° D->f#° am am f#°->am

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
Radius1
Self-Centeredno
Central Verticesf♯°
Peripheral VerticesD, am

Modes

Modes are the rotational transformation of this scale. Scale 597 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1173
Scale 1173: Dominant Pentatonic, Ian Ring Music TheoryDominant Pentatonic
3rd mode:
Scale 1317
Scale 1317: Chaio, Ian Ring Music TheoryChaio
4th mode:
Scale 1353
Scale 1353: Raga Harikauns, Ian Ring Music TheoryRaga Harikauns
5th mode:
Scale 681
Scale 681: Kyemyonjo, Ian Ring Music TheoryKyemyonjo

Prime

This is the prime form of this scale.

Complement

The pentatonic modal family [597, 1173, 1317, 1353, 681] (Forte: 5-34) is the complement of the heptatonic modal family [1371, 1389, 1461, 1707, 1749, 2733, 2901] (Forte: 7-34)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 597 is 1353

Scale 1353Scale 1353: Raga Harikauns, Ian Ring Music TheoryRaga Harikauns

Transformations:

T0 597  T0I 1353
T1 1194  T1I 2706
T2 2388  T2I 1317
T3 681  T3I 2634
T4 1362  T4I 1173
T5 2724  T5I 2346
T6 1353  T6I 597
T7 2706  T7I 1194
T8 1317  T8I 2388
T9 2634  T9I 681
T10 1173  T10I 1362
T11 2346  T11I 2724

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 599Scale 599: Thyrimic, Ian Ring Music TheoryThyrimic
Scale 593Scale 593: Saric, Ian Ring Music TheorySaric
Scale 595Scale 595: Sogitonic, Ian Ring Music TheorySogitonic
Scale 601Scale 601: Bycritonic, Ian Ring Music TheoryBycritonic
Scale 605Scale 605: Dycrimic, Ian Ring Music TheoryDycrimic
Scale 581Scale 581: Eporic 2, Ian Ring Music TheoryEporic 2
Scale 589Scale 589: Ionalitonic, Ian Ring Music TheoryIonalitonic
Scale 613Scale 613: Phralitonic, Ian Ring Music TheoryPhralitonic
Scale 629Scale 629: Aeronimic, Ian Ring Music TheoryAeronimic
Scale 533Scale 533, Ian Ring Music Theory
Scale 565Scale 565: Aeolyphritonic, Ian Ring Music TheoryAeolyphritonic
Scale 661Scale 661: Major Pentatonic, Ian Ring Music TheoryMajor Pentatonic
Scale 725Scale 725: Raga Yamuna Kalyani, Ian Ring Music TheoryRaga Yamuna Kalyani
Scale 853Scale 853: Epothimic, Ian Ring Music TheoryEpothimic
Scale 85Scale 85, Ian Ring Music Theory
Scale 341Scale 341: Bothitonic, Ian Ring Music TheoryBothitonic
Scale 1109Scale 1109: Kataditonic, Ian Ring Music TheoryKataditonic
Scale 1621Scale 1621: Scriabin's Prometheus, Ian Ring Music TheoryScriabin's Prometheus
Scale 2645Scale 2645: Raga Mruganandana, Ian Ring Music TheoryRaga Mruganandana

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.