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Scale 3759: "Darygic"

Scale 3759: Darygic, 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
Darygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,5,7,9,10,11}
Forte Number9-6
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 1407
Deep Scaleno
Interval Vector686763
Interval Spectrump6m7n6s8d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedno
Ridge Tones[0]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3759 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3927
Scale 3927: Monygic, Ian Ring Music TheoryMonygic
3rd mode:
Scale 4011
Scale 4011: Styrygic, Ian Ring Music TheoryStyrygic
4th mode:
Scale 4053
Scale 4053: Kyrygic, Ian Ring Music TheoryKyrygic
5th mode:
Scale 2037
Scale 2037: Sythygic, Ian Ring Music TheorySythygic
6th mode:
Scale 1533
Scale 1533: Katycrygic, Ian Ring Music TheoryKatycrygic
7th mode:
Scale 1407
Scale 1407: Tharygic, Ian Ring Music TheoryTharygicThis is the prime mode
8th mode:
Scale 2751
Scale 2751: Sylygic, Ian Ring Music TheorySylygic
9th mode:
Scale 3423
Scale 3423: Lothygic, Ian Ring Music TheoryLothygic

Prime

The prime form of this scale is Scale 1407

Scale 1407Scale 1407: Tharygic, Ian Ring Music TheoryTharygic

Complement

The nonatonic modal family [3759, 3927, 4011, 4053, 2037, 1533, 1407, 2751, 3423] (Forte: 9-6) is the complement of the tritonic modal family [21, 1029, 1281] (Forte: 3-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3759 is itself, because it is a palindromic scale!

Scale 3759Scale 3759: Darygic, Ian Ring Music TheoryDarygic

Transformations:

T0 3759  T0I 3759
T1 3423  T1I 3423
T2 2751  T2I 2751
T3 1407  T3I 1407
T4 2814  T4I 2814
T5 1533  T5I 1533
T6 3066  T6I 3066
T7 2037  T7I 2037
T8 4074  T8I 4074
T9 4053  T9I 4053
T10 4011  T10I 4011
T11 3927  T11I 3927

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 3757Scale 3757: Raga Mian Ki Malhar, Ian Ring Music TheoryRaga Mian Ki Malhar
Scale 3755Scale 3755: Phryryllic, Ian Ring Music TheoryPhryryllic
Scale 3751Scale 3751: Aerathyllic, Ian Ring Music TheoryAerathyllic
Scale 3767Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
Scale 3775Scale 3775: Loptyllian, Ian Ring Music TheoryLoptyllian
Scale 3727Scale 3727: Tholyllic, Ian Ring Music TheoryTholyllic
Scale 3743Scale 3743: Thadygic, Ian Ring Music TheoryThadygic
Scale 3791Scale 3791: Stodygic, Ian Ring Music TheoryStodygic
Scale 3823Scale 3823: Epinyllian, Ian Ring Music TheoryEpinyllian
Scale 3631Scale 3631: Gydyllic, Ian Ring Music TheoryGydyllic
Scale 3695Scale 3695: Kodygic, Ian Ring Music TheoryKodygic
Scale 3887Scale 3887: Phrathygic, Ian Ring Music TheoryPhrathygic
Scale 4015Scale 4015: Phradyllian, Ian Ring Music TheoryPhradyllian
Scale 3247Scale 3247: Aeolonyllic, Ian Ring Music TheoryAeolonyllic
Scale 3503Scale 3503: Zyphygic, Ian Ring Music TheoryZyphygic
Scale 2735Scale 2735: Gynyllic, Ian Ring Music TheoryGynyllic
Scale 1711Scale 1711: Adonai Malakh, Ian Ring Music TheoryAdonai Malakh

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.