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Scale 3223: "Thyphian"

Scale 3223: Thyphian, 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
Thyphian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,4,7,10,11}
Forte Number7-10
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3367
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes6
Prime?no
prime: 607
Deep Scaleno
Interval Vector445332
Interval Spectrump3m3n5s4d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5,6}
<3> = {3,4,5,6,7,8}
<4> = {4,5,6,7,8,9}
<5> = {6,7,8,9,10}
<6> = {9,10,11}
Spectra Variation3.143
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3223 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3659
Scale 3659: Polian, Ian Ring Music TheoryPolian
3rd mode:
Scale 3877
Scale 3877: Thanian, Ian Ring Music TheoryThanian
4th mode:
Scale 1993
Scale 1993: Katoptian, Ian Ring Music TheoryKatoptian
5th mode:
Scale 761
Scale 761: Ponian, Ian Ring Music TheoryPonian
6th mode:
Scale 607
Scale 607: Kadian, Ian Ring Music TheoryKadianThis is the prime mode
7th mode:
Scale 2351
Scale 2351: Gynian, Ian Ring Music TheoryGynian

Prime

The prime form of this scale is Scale 607

Scale 607Scale 607: Kadian, Ian Ring Music TheoryKadian

Complement

The heptatonic modal family [3223, 3659, 3877, 1993, 761, 607, 2351] (Forte: 7-10) is the complement of the pentatonic modal family [91, 1547, 1729, 2093, 2821] (Forte: 5-10)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3223 is 3367

Scale 3367Scale 3367: Moptian, Ian Ring Music TheoryMoptian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3223 is chiral, and its enantiomorph is scale 3367

Scale 3367Scale 3367: Moptian, Ian Ring Music TheoryMoptian

Transformations:

T0 3223  T0I 3367
T1 2351  T1I 2639
T2 607  T2I 1183
T3 1214  T3I 2366
T4 2428  T4I 637
T5 761  T5I 1274
T6 1522  T6I 2548
T7 3044  T7I 1001
T8 1993  T8I 2002
T9 3986  T9I 4004
T10 3877  T10I 3913
T11 3659  T11I 3731

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 3221Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic
Scale 3219Scale 3219: Ionaphimic, Ian Ring Music TheoryIonaphimic
Scale 3227Scale 3227: Aeolocrian, Ian Ring Music TheoryAeolocrian
Scale 3231Scale 3231: Kataptyllic, Ian Ring Music TheoryKataptyllic
Scale 3207Scale 3207, Ian Ring Music Theory
Scale 3215Scale 3215: Katydian, Ian Ring Music TheoryKatydian
Scale 3239Scale 3239: Mela Tanarupi, Ian Ring Music TheoryMela Tanarupi
Scale 3255Scale 3255: Daryllic, Ian Ring Music TheoryDaryllic
Scale 3287Scale 3287: Phrathyllic, Ian Ring Music TheoryPhrathyllic
Scale 3095Scale 3095, Ian Ring Music Theory
Scale 3159Scale 3159: Stocrian, Ian Ring Music TheoryStocrian
Scale 3351Scale 3351: Karian, Ian Ring Music TheoryKarian
Scale 3479Scale 3479: Rothyllic, Ian Ring Music TheoryRothyllic
Scale 3735Scale 3735, Ian Ring Music Theory
Scale 2199Scale 2199: Dyptimic, Ian Ring Music TheoryDyptimic
Scale 2711Scale 2711: Stolian, Ian Ring Music TheoryStolian
Scale 1175Scale 1175: Epycrimic, Ian Ring Music TheoryEpycrimic

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.