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Scale 1173: "Dominant Pentatonic"

Scale 1173: Dominant Pentatonic, Ian Ring Music Theory
Named the Dominant Pentatonic because its tones include a dominant seventh chord.

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

Western Modern
Dominant Pentatonic
Zeitler
Phropitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,4,7,10}
Forte Number5-34
Rotational Symmetrynone
Reflection Axes1
Palindromicno
Chiralityno
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 597
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[2]
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 TriadsC{0,4,7}121
Minor Triadsgm{7,10,2}121
Diminished Triads{4,7,10}210.67
Parsimonious Voice Leading Between Common Triads of Scale 1173. Created by Ian Ring ©2019 C C C->e° gm gm e°->gm

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 Vertices
Peripheral VerticesC, gm

Modes

Modes are the rotational transformation of this scale. Scale 1173 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1317
Scale 1317: Chaio, Ian Ring Music TheoryChaio
3rd mode:
Scale 1353
Scale 1353: Raga Harikauns, Ian Ring Music TheoryRaga Harikauns
4th mode:
Scale 681
Scale 681: Kyemyonjo, Ian Ring Music TheoryKyemyonjo
5th mode:
Scale 597
Scale 597: Kung, Ian Ring Music TheoryKungThis is the prime mode

Prime

The prime form of this scale is Scale 597

Scale 597Scale 597: Kung, Ian Ring Music TheoryKung

Complement

The pentatonic modal family [1173, 1317, 1353, 681, 597] (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 1173 is 1317

Scale 1317Scale 1317: Chaio, Ian Ring Music TheoryChaio

Transformations:

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

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 1175Scale 1175: Epycrimic, Ian Ring Music TheoryEpycrimic
Scale 1169Scale 1169: Raga Mahathi, Ian Ring Music TheoryRaga Mahathi
Scale 1171Scale 1171: Raga Manaranjani I, Ian Ring Music TheoryRaga Manaranjani I
Scale 1177Scale 1177: Garitonic, Ian Ring Music TheoryGaritonic
Scale 1181Scale 1181: Katagimic, Ian Ring Music TheoryKatagimic
Scale 1157Scale 1157, Ian Ring Music Theory
Scale 1165Scale 1165: Gycritonic, Ian Ring Music TheoryGycritonic
Scale 1189Scale 1189: Suspended Pentatonic, Ian Ring Music TheorySuspended Pentatonic
Scale 1205Scale 1205: Raga Siva Kambhoji, Ian Ring Music TheoryRaga Siva Kambhoji
Scale 1237Scale 1237: Salimic, Ian Ring Music TheorySalimic
Scale 1045Scale 1045, Ian Ring Music Theory
Scale 1109Scale 1109: Kataditonic, Ian Ring Music TheoryKataditonic
Scale 1301Scale 1301: Koditonic, Ian Ring Music TheoryKoditonic
Scale 1429Scale 1429: Bythimic, Ian Ring Music TheoryBythimic
Scale 1685Scale 1685: Zeracrimic, Ian Ring Music TheoryZeracrimic
Scale 149Scale 149: Eskimo Tetratonic, Ian Ring Music TheoryEskimo Tetratonic
Scale 661Scale 661: Major Pentatonic, Ian Ring Music TheoryMajor Pentatonic
Scale 2197Scale 2197: Raga Hamsadhvani, Ian Ring Music TheoryRaga Hamsadhvani
Scale 3221Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic

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.