The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 743: "Chromatic Hypophrygian Inverse"

Scale 743: Chromatic Hypophrygian Inverse, 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

Western Chromatic
Chromatic Hypophrygian Inverse
Zeitler
Lanian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,5,6,7,9}
Forte Number7-20
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3305
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes6
Prime?yes
Deep Scaleno
Interval Vector433452
Interval Spectrump5m4n3s3d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setno
Interior Area2.433
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

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}231.5
F{5,9,0}231.5
Minor Triadsdm{2,5,9}231.5
f♯m{6,9,1}321.17
Augmented TriadsC♯+{1,5,9}321.17
Diminished Triadsf♯°{6,9,0}231.5
Parsimonious Voice Leading Between Common Triads of Scale 743. Created by Ian Ring ©2019 C#+ C#+ dm dm C#+->dm F F C#+->F f#m f#m C#+->f#m D D dm->D D->f#m f#° f#° F->f#° f#°->f#m

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.

Diameter3
Radius2
Self-Centeredno
Central VerticesC♯+, f♯m
Peripheral Verticesdm, D, F, f♯°

Modes

Modes are the rotational transformation of this scale. Scale 743 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2419
Scale 2419: Raga Lalita, Ian Ring Music TheoryRaga Lalita
3rd mode:
Scale 3257
Scale 3257: Mela Calanata, Ian Ring Music TheoryMela Calanata
4th mode:
Scale 919
Scale 919: Chromatic Phrygian Inverse, Ian Ring Music TheoryChromatic Phrygian Inverse
5th mode:
Scale 2507
Scale 2507: Todi That, Ian Ring Music TheoryTodi That
6th mode:
Scale 3301
Scale 3301: Chromatic Mixolydian Inverse, Ian Ring Music TheoryChromatic Mixolydian Inverse
7th mode:
Scale 1849
Scale 1849: Chromatic Hypodorian Inverse, Ian Ring Music TheoryChromatic Hypodorian Inverse

Prime

This is the prime form of this scale.

Complement

The heptatonic modal family [743, 2419, 3257, 919, 2507, 3301, 1849] (Forte: 7-20) is the complement of the pentatonic modal family [355, 395, 1585, 2225, 2245] (Forte: 5-20)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 743 is 3305

Scale 3305Scale 3305: Chromatic Hypophrygian, Ian Ring Music TheoryChromatic Hypophrygian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 743 is chiral, and its enantiomorph is scale 3305

Scale 3305Scale 3305: Chromatic Hypophrygian, Ian Ring Music TheoryChromatic Hypophrygian

Transformations:

T0 743  T0I 3305
T1 1486  T1I 2515
T2 2972  T2I 935
T3 1849  T3I 1870
T4 3698  T4I 3740
T5 3301  T5I 3385
T6 2507  T6I 2675
T7 919  T7I 1255
T8 1838  T8I 2510
T9 3676  T9I 925
T10 3257  T10I 1850
T11 2419  T11I 3700

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 741Scale 741: Gathimic, Ian Ring Music TheoryGathimic
Scale 739Scale 739: Rorimic, Ian Ring Music TheoryRorimic
Scale 747Scale 747: Lynian, Ian Ring Music TheoryLynian
Scale 751Scale 751, Ian Ring Music Theory
Scale 759Scale 759: Katalyllic, Ian Ring Music TheoryKatalyllic
Scale 711Scale 711: Raga Chandrajyoti, Ian Ring Music TheoryRaga Chandrajyoti
Scale 727Scale 727: Phradian, Ian Ring Music TheoryPhradian
Scale 679Scale 679: Lanimic, Ian Ring Music TheoryLanimic
Scale 615Scale 615: Phrothimic, Ian Ring Music TheoryPhrothimic
Scale 871Scale 871: Locrian Double-flat 3 Double-flat 7, Ian Ring Music TheoryLocrian Double-flat 3 Double-flat 7
Scale 999Scale 999: Ionodyllic, Ian Ring Music TheoryIonodyllic
Scale 231Scale 231, Ian Ring Music Theory
Scale 487Scale 487: Dynian, Ian Ring Music TheoryDynian
Scale 1255Scale 1255: Chromatic Mixolydian, Ian Ring Music TheoryChromatic Mixolydian
Scale 1767Scale 1767: Dyryllic, Ian Ring Music TheoryDyryllic
Scale 2791Scale 2791: Mixothyllic, Ian Ring Music TheoryMixothyllic

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.