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Scale 3441: "Thacrian"

Scale 3441: Thacrian, 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

Zeitler
Thacrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,4,5,6,8,10,11}
Forte Number7-15
Rotational Symmetrynone
Reflection Axes2
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 471
Deep Scaleno
Interval Vector442443
Interval Spectrump4m4n2s4d4t3
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9,10}
<6> = {8,10,11}
Spectra Variation2.286
Maximally Evenno
Maximal Area Setno
Interior Area2.299
Myhill Propertyno
Balancedno
Ridge Tones[4]
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3441 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 471
Scale 471: Dodian, Ian Ring Music TheoryDodianThis is the prime mode
3rd mode:
Scale 2283
Scale 2283: Aeolyptian, Ian Ring Music TheoryAeolyptian
4th mode:
Scale 3189
Scale 3189: Aeolonian, Ian Ring Music TheoryAeolonian
5th mode:
Scale 1821
Scale 1821: Aeradian, Ian Ring Music TheoryAeradian
6th mode:
Scale 1479
Scale 1479: Mela Jalarnava, Ian Ring Music TheoryMela Jalarnava
7th mode:
Scale 2787
Scale 2787: Zyrian, Ian Ring Music TheoryZyrian

Prime

The prime form of this scale is Scale 471

Scale 471Scale 471: Dodian, Ian Ring Music TheoryDodian

Complement

The heptatonic modal family [3441, 471, 2283, 3189, 1821, 1479, 2787] (Forte: 7-15) is the complement of the pentatonic modal family [327, 453, 1137, 2211, 3153] (Forte: 5-15)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3441 is 471

Scale 471Scale 471: Dodian, Ian Ring Music TheoryDodian

Transformations:

T0 3441  T0I 471
T1 2787  T1I 942
T2 1479  T2I 1884
T3 2958  T3I 3768
T4 1821  T4I 3441
T5 3642  T5I 2787
T6 3189  T6I 1479
T7 2283  T7I 2958
T8 471  T8I 1821
T9 942  T9I 3642
T10 1884  T10I 3189
T11 3768  T11I 2283

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 3443Scale 3443: Verdi's Scala Enigmatica, Ian Ring Music TheoryVerdi's Scala Enigmatica
Scale 3445Scale 3445: Messiaen Mode 6 Inverse, Ian Ring Music TheoryMessiaen Mode 6 Inverse
Scale 3449Scale 3449: Bacryllic, Ian Ring Music TheoryBacryllic
Scale 3425Scale 3425, Ian Ring Music Theory
Scale 3433Scale 3433: Thonian, Ian Ring Music TheoryThonian
Scale 3409Scale 3409: Katanimic, Ian Ring Music TheoryKatanimic
Scale 3377Scale 3377: Phralimic, Ian Ring Music TheoryPhralimic
Scale 3505Scale 3505: Stygian, Ian Ring Music TheoryStygian
Scale 3569Scale 3569: Aeoladyllic, Ian Ring Music TheoryAeoladyllic
Scale 3185Scale 3185: Messiaen Mode 5 Inverse, Ian Ring Music TheoryMessiaen Mode 5 Inverse
Scale 3313Scale 3313: Aeolacrian, Ian Ring Music TheoryAeolacrian
Scale 3697Scale 3697: Ionarian, Ian Ring Music TheoryIonarian
Scale 3953Scale 3953: Thagyllic, Ian Ring Music TheoryThagyllic
Scale 2417Scale 2417: Kanimic, Ian Ring Music TheoryKanimic
Scale 2929Scale 2929: Aeolathian, Ian Ring Music TheoryAeolathian
Scale 1393Scale 1393: Mycrimic, Ian Ring Music TheoryMycrimic

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.