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Scale 3261: "Dodyllic"

Scale 3261: Dodyllic, 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
Dodyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,4,5,7,10,11}
Forte Number8-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1959
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes7
Prime?no
prime: 759
Deep Scaleno
Interval Vector555562
Interval Spectrump6m5n5s5d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {5,7}
<5> = {6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Maximally Evenno
Maximal Area Setno
Interior Area2.616
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3261 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1839
Scale 1839: Zogyllic, Ian Ring Music TheoryZogyllic
3rd mode:
Scale 2967
Scale 2967: Madyllic, Ian Ring Music TheoryMadyllic
4th mode:
Scale 3531
Scale 3531: Neveseri, Ian Ring Music TheoryNeveseri
5th mode:
Scale 3813
Scale 3813: Aeologyllic, Ian Ring Music TheoryAeologyllic
6th mode:
Scale 1977
Scale 1977: Dagyllic, Ian Ring Music TheoryDagyllic
7th mode:
Scale 759
Scale 759: Katalyllic, Ian Ring Music TheoryKatalyllicThis is the prime mode
8th mode:
Scale 2427
Scale 2427: Katoryllic, Ian Ring Music TheoryKatoryllic

Prime

The prime form of this scale is Scale 759

Scale 759Scale 759: Katalyllic, Ian Ring Music TheoryKatalyllic

Complement

The octatonic modal family [3261, 1839, 2967, 3531, 3813, 1977, 759, 2427] (Forte: 8-14) is the complement of the tetratonic modal family [141, 417, 1059, 2577] (Forte: 4-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3261 is 1959

Scale 1959Scale 1959: Katolyllic, Ian Ring Music TheoryKatolyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3261 is chiral, and its enantiomorph is scale 1959

Scale 1959Scale 1959: Katolyllic, Ian Ring Music TheoryKatolyllic

Transformations:

T0 3261  T0I 1959
T1 2427  T1I 3918
T2 759  T2I 3741
T3 1518  T3I 3387
T4 3036  T4I 2679
T5 1977  T5I 1263
T6 3954  T6I 2526
T7 3813  T7I 957
T8 3531  T8I 1914
T9 2967  T9I 3828
T10 1839  T10I 3561
T11 3678  T11I 3027

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 3263Scale 3263: Pyrygic, Ian Ring Music TheoryPyrygic
Scale 3257Scale 3257: Mela Calanata, Ian Ring Music TheoryMela Calanata
Scale 3259Scale 3259, Ian Ring Music Theory
Scale 3253Scale 3253: Mela Naganandini, Ian Ring Music TheoryMela Naganandini
Scale 3245Scale 3245: Mela Varunapriya, Ian Ring Music TheoryMela Varunapriya
Scale 3229Scale 3229: Aeolaptian, Ian Ring Music TheoryAeolaptian
Scale 3293Scale 3293: Saryllic, Ian Ring Music TheorySaryllic
Scale 3325Scale 3325: Mixolygic, Ian Ring Music TheoryMixolygic
Scale 3133Scale 3133, Ian Ring Music Theory
Scale 3197Scale 3197: Gylyllic, Ian Ring Music TheoryGylyllic
Scale 3389Scale 3389: Socryllic, Ian Ring Music TheorySocryllic
Scale 3517Scale 3517: Epocrygic, Ian Ring Music TheoryEpocrygic
Scale 3773Scale 3773: Raga Malgunji, Ian Ring Music TheoryRaga Malgunji
Scale 2237Scale 2237: Epothian, Ian Ring Music TheoryEpothian
Scale 2749Scale 2749: Katagyllic, Ian Ring Music TheoryKatagyllic
Scale 1213Scale 1213: Gyrian, Ian Ring Music TheoryGyrian

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.