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Scale 3743: "Thadygic"

Scale 3743: Thadygic, 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
Thadygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,7,9,10,11}
Forte Number9-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3887
Hemitonia7 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 767
Deep Scaleno
Interval Vector777663
Interval Spectrump6m6n7s7d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {7,8,9,10}
<8> = {9,10,11}
Spectra Variation2.444
Maximally Evenno
Maximal Area Setno
Interior Area2.683
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
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}442.07
D♯{3,7,10}342.29
G{7,11,2}242.43
A{9,1,4}342.43
Minor Triadscm{0,3,7}342.14
em{4,7,11}342.14
gm{7,10,2}342.43
am{9,0,4}342.29
Augmented TriadsD♯+{3,7,11}442.07
Diminished Triadsc♯°{1,4,7}242.43
{4,7,10}242.5
{7,10,1}242.57
{9,0,3}242.5
a♯°{10,1,4}242.57
Parsimonious Voice Leading Between Common Triads of Scale 3743. Created by Ian Ring ©2019 cm cm C C cm->C D#+ D#+ cm->D#+ cm->a° c#° c#° C->c#° em em C->em am am C->am A A c#°->A D# D# D#->D#+ D#->e° gm gm D#->gm D#+->em Parsimonious Voice Leading Between Common Triads of Scale 3743. Created by Ian Ring ©2019 G D#+->G e°->em g°->gm a#° a#° g°->a#° gm->G a°->am am->A A->a#°

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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.

Diameter4
Radius4
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 3743 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3919
Scale 3919: Lynygic, Ian Ring Music TheoryLynygic
3rd mode:
Scale 4007
Scale 4007: Doptygic, Ian Ring Music TheoryDoptygic
4th mode:
Scale 4051
Scale 4051: Ionilygic, Ian Ring Music TheoryIonilygic
5th mode:
Scale 4073
Scale 4073: Sathygic, Ian Ring Music TheorySathygic
6th mode:
Scale 1021
Scale 1021: Ladygic, Ian Ring Music TheoryLadygic
7th mode:
Scale 1279
Scale 1279: Sarygic, Ian Ring Music TheorySarygic
8th mode:
Scale 2687
Scale 2687: Thacrygic, Ian Ring Music TheoryThacrygic
9th mode:
Scale 3391
Scale 3391: Aeolynygic, Ian Ring Music TheoryAeolynygic

Prime

The prime form of this scale is Scale 767

Scale 767Scale 767: Raptygic, Ian Ring Music TheoryRaptygic

Complement

The nonatonic modal family [3743, 3919, 4007, 4051, 4073, 1021, 1279, 2687, 3391] (Forte: 9-2) is the complement of the tritonic modal family [11, 1537, 2053] (Forte: 3-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3743 is 3887

Scale 3887Scale 3887: Phrathygic, Ian Ring Music TheoryPhrathygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3743 is chiral, and its enantiomorph is scale 3887

Scale 3887Scale 3887: Phrathygic, Ian Ring Music TheoryPhrathygic

Transformations:

T0 3743  T0I 3887
T1 3391  T1I 3679
T2 2687  T2I 3263
T3 1279  T3I 2431
T4 2558  T4I 767
T5 1021  T5I 1534
T6 2042  T6I 3068
T7 4084  T7I 2041
T8 4073  T8I 4082
T9 4051  T9I 4069
T10 4007  T10I 4043
T11 3919  T11I 3991

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 3741Scale 3741: Zydyllic, Ian Ring Music TheoryZydyllic
Scale 3739Scale 3739: Epanyllic, Ian Ring Music TheoryEpanyllic
Scale 3735Scale 3735, Ian Ring Music Theory
Scale 3727Scale 3727: Tholyllic, Ian Ring Music TheoryTholyllic
Scale 3759Scale 3759: Darygic, Ian Ring Music TheoryDarygic
Scale 3775Scale 3775: Loptyllian, Ian Ring Music TheoryLoptyllian
Scale 3807Scale 3807: Bagyllian, Ian Ring Music TheoryBagyllian
Scale 3615Scale 3615, Ian Ring Music Theory
Scale 3679Scale 3679: Rycrygic, Ian Ring Music TheoryRycrygic
Scale 3871Scale 3871: Aerynygic, Ian Ring Music TheoryAerynygic
Scale 3999Scale 3999: Dydyllian, Ian Ring Music TheoryDydyllian
Scale 3231Scale 3231: Kataptyllic, Ian Ring Music TheoryKataptyllic
Scale 3487Scale 3487: Byptygic, Ian Ring Music TheoryByptygic
Scale 2719Scale 2719: Zocryllic, Ian Ring Music TheoryZocryllic
Scale 1695Scale 1695: Phrodyllic, Ian Ring Music TheoryPhrodyllic

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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.