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Scale 2447: "Thagian"

Scale 2447: Thagian, 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
Thagian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,7,8,11}
Forte Number7-6
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3635
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 415
Deep Scaleno
Interval Vector533442
Interval Spectrump4m4n3s3d5t2
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {7,8,10}
<6> = {8,9,11}
Spectra Variation3.143
Maximally Evenno
Maximal Area Setno
Interior Area2.183
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2447 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3271
Scale 3271: Mela Raghupriya, Ian Ring Music TheoryMela Raghupriya
3rd mode:
Scale 3683
Scale 3683: Dycrian, Ian Ring Music TheoryDycrian
4th mode:
Scale 3889
Scale 3889: Parian, Ian Ring Music TheoryParian
5th mode:
Scale 499
Scale 499: Ionaptian, Ian Ring Music TheoryIonaptian
6th mode:
Scale 2297
Scale 2297: Thylian, Ian Ring Music TheoryThylian
7th mode:
Scale 799
Scale 799: Lolian, Ian Ring Music TheoryLolian

Prime

The prime form of this scale is Scale 415

Scale 415Scale 415: Aeoladian, Ian Ring Music TheoryAeoladian

Complement

The heptatonic modal family [2447, 3271, 3683, 3889, 499, 2297, 799] (Forte: 7-6) is the complement of the pentatonic modal family [103, 899, 2099, 2497, 3097] (Forte: 5-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2447 is 3635

Scale 3635Scale 3635: Katygian, Ian Ring Music TheoryKatygian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2447 is chiral, and its enantiomorph is scale 3635

Scale 3635Scale 3635: Katygian, Ian Ring Music TheoryKatygian

Transformations:

T0 2447  T0I 3635
T1 799  T1I 3175
T2 1598  T2I 2255
T3 3196  T3I 415
T4 2297  T4I 830
T5 499  T5I 1660
T6 998  T6I 3320
T7 1996  T7I 2545
T8 3992  T8I 995
T9 3889  T9I 1990
T10 3683  T10I 3980
T11 3271  T11I 3865

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 2445Scale 2445: Zadimic, Ian Ring Music TheoryZadimic
Scale 2443Scale 2443: Panimic, Ian Ring Music TheoryPanimic
Scale 2439Scale 2439, Ian Ring Music Theory
Scale 2455Scale 2455: Bothian, Ian Ring Music TheoryBothian
Scale 2463Scale 2463: Ionathyllic, Ian Ring Music TheoryIonathyllic
Scale 2479Scale 2479: Harmonic and Neapolitan Minor Mixed, Ian Ring Music TheoryHarmonic and Neapolitan Minor Mixed
Scale 2511Scale 2511: Aeroptyllic, Ian Ring Music TheoryAeroptyllic
Scale 2319Scale 2319, Ian Ring Music Theory
Scale 2383Scale 2383: Katorian, Ian Ring Music TheoryKatorian
Scale 2191Scale 2191: Thydimic, Ian Ring Music TheoryThydimic
Scale 2703Scale 2703: Galian, Ian Ring Music TheoryGalian
Scale 2959Scale 2959: Dygyllic, Ian Ring Music TheoryDygyllic
Scale 3471Scale 3471: Gyryllic, Ian Ring Music TheoryGyryllic
Scale 399Scale 399: Zynimic, Ian Ring Music TheoryZynimic
Scale 1423Scale 1423: Doptian, Ian Ring Music TheoryDoptian

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.