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Scale 2619: "Ionyrian"

Scale 2619: Ionyrian, 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
Ionyrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,4,5,9,11}
Forte Number7-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2955
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 375
Deep Scaleno
Interval Vector443532
Interval Spectrump3m5n3s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {4,6,7}
<4> = {5,6,8}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation2.857
Maximally Evenno
Maximal Area Setno
Interior Area2.299
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

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 TriadsF{5,9,0}221.2
A{9,1,4}221.2
Minor Triadsam{9,0,4}321
Augmented TriadsC♯+{1,5,9}231.4
Diminished Triads{9,0,3}131.6
Parsimonious Voice Leading Between Common Triads of Scale 2619. Created by Ian Ring ©2019 C#+ C#+ F F C#+->F A A C#+->A am am F->am a°->am am->A

view full size

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.

Diameter3
Radius2
Self-Centeredno
Central VerticesF, am, A
Peripheral VerticesC♯+, a°

Modes

Modes are the rotational transformation of this scale. Scale 2619 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3357
Scale 3357: Phrodian, Ian Ring Music TheoryPhrodian
3rd mode:
Scale 1863
Scale 1863: Pycrian, Ian Ring Music TheoryPycrian
4th mode:
Scale 2979
Scale 2979: Gyptian, Ian Ring Music TheoryGyptian
5th mode:
Scale 3537
Scale 3537: Katogian, Ian Ring Music TheoryKatogian
6th mode:
Scale 477
Scale 477: Stacrian, Ian Ring Music TheoryStacrian
7th mode:
Scale 1143
Scale 1143: Styrian, Ian Ring Music TheoryStyrian

Prime

The prime form of this scale is Scale 375

Scale 375Scale 375: Sodian, Ian Ring Music TheorySodian

Complement

The heptatonic modal family [2619, 3357, 1863, 2979, 3537, 477, 1143] (Forte: 7-13) is the complement of the pentatonic modal family [279, 369, 1809, 2187, 3141] (Forte: 5-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2619 is 2955

Scale 2955Scale 2955: Thorian, Ian Ring Music TheoryThorian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2619 is chiral, and its enantiomorph is scale 2955

Scale 2955Scale 2955: Thorian, Ian Ring Music TheoryThorian

Transformations:

T0 2619  T0I 2955
T1 1143  T1I 1815
T2 2286  T2I 3630
T3 477  T3I 3165
T4 954  T4I 2235
T5 1908  T5I 375
T6 3816  T6I 750
T7 3537  T7I 1500
T8 2979  T8I 3000
T9 1863  T9I 1905
T10 3726  T10I 3810
T11 3357  T11I 3525

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 2617Scale 2617: Pylimic, Ian Ring Music TheoryPylimic
Scale 2621Scale 2621: Ionogian, Ian Ring Music TheoryIonogian
Scale 2623Scale 2623: Aerylyllic, Ian Ring Music TheoryAerylyllic
Scale 2611Scale 2611: Raga Vasanta, Ian Ring Music TheoryRaga Vasanta
Scale 2615Scale 2615: Thoptian, Ian Ring Music TheoryThoptian
Scale 2603Scale 2603: Gadimic, Ian Ring Music TheoryGadimic
Scale 2587Scale 2587, Ian Ring Music Theory
Scale 2651Scale 2651: Panian, Ian Ring Music TheoryPanian
Scale 2683Scale 2683: Thodyllic, Ian Ring Music TheoryThodyllic
Scale 2747Scale 2747: Stythyllic, Ian Ring Music TheoryStythyllic
Scale 2875Scale 2875: Ganyllic, Ian Ring Music TheoryGanyllic
Scale 2107Scale 2107, Ian Ring Music Theory
Scale 2363Scale 2363: Kataptian, Ian Ring Music TheoryKataptian
Scale 3131Scale 3131, Ian Ring Music Theory
Scale 3643Scale 3643: Kydyllic, Ian Ring Music TheoryKydyllic
Scale 571Scale 571: Kynimic, Ian Ring Music TheoryKynimic
Scale 1595Scale 1595: Dacrian, Ian Ring Music TheoryDacrian

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.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.