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Scale 1843: "Ionygian"

Scale 1843: Ionygian, 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
Ionygian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,4,5,8,9,10}
Forte Number7-21
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2461
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 823
Deep Scaleno
Interval Vector424641
Interval Spectrump4m6n4s2d4t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {8,9,10}
<6> = {9,10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setno
Interior Area2.433
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 TriadsC♯{1,5,8}331.7
F{5,9,0}331.7
A{9,1,4}431.5
Minor Triadsc♯m{1,4,8}331.7
fm{5,8,0}341.9
am{9,0,4}331.7
a♯m{10,1,5}242.1
Augmented TriadsC+{0,4,8}341.9
C♯+{1,5,9}431.5
Diminished Triadsa♯°{10,1,4}242.1
Parsimonious Voice Leading Between Common Triads of Scale 1843. Created by Ian Ring ©2019 C+ C+ c#m c#m C+->c#m fm fm C+->fm am am C+->am C# C# c#m->C# A A c#m->A C#+ C#+ C#->C#+ C#->fm F F C#+->F C#+->A a#m a#m C#+->a#m fm->F F->am am->A a#° a#° A->a#° a#°->a#m

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.

Diameter4
Radius3
Self-Centeredno
Central Verticesc♯m, C♯, C♯+, F, am, A
Peripheral VerticesC+, fm, a♯°, a♯m

Modes

Modes are the rotational transformation of this scale. Scale 1843 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2969
Scale 2969: Tholian, Ian Ring Music TheoryTholian
3rd mode:
Scale 883
Scale 883: Ralian, Ian Ring Music TheoryRalian
4th mode:
Scale 2489
Scale 2489: Mela Gangeyabhusani, Ian Ring Music TheoryMela Gangeyabhusani
5th mode:
Scale 823
Scale 823: Stodian, Ian Ring Music TheoryStodianThis is the prime mode
6th mode:
Scale 2459
Scale 2459: Ionocrian, Ian Ring Music TheoryIonocrian
7th mode:
Scale 3277
Scale 3277: Mela Nitimati, Ian Ring Music TheoryMela Nitimati

Prime

The prime form of this scale is Scale 823

Scale 823Scale 823: Stodian, Ian Ring Music TheoryStodian

Complement

The heptatonic modal family [1843, 2969, 883, 2489, 823, 2459, 3277] (Forte: 7-21) is the complement of the pentatonic modal family [307, 787, 817, 2201, 2441] (Forte: 5-21)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1843 is 2461

Scale 2461Scale 2461: Sagian, Ian Ring Music TheorySagian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1843 is chiral, and its enantiomorph is scale 2461

Scale 2461Scale 2461: Sagian, Ian Ring Music TheorySagian

Transformations:

T0 1843  T0I 2461
T1 3686  T1I 827
T2 3277  T2I 1654
T3 2459  T3I 3308
T4 823  T4I 2521
T5 1646  T5I 947
T6 3292  T6I 1894
T7 2489  T7I 3788
T8 883  T8I 3481
T9 1766  T9I 2867
T10 3532  T10I 1639
T11 2969  T11I 3278

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 1841Scale 1841: Thogimic, Ian Ring Music TheoryThogimic
Scale 1845Scale 1845: Lagian, Ian Ring Music TheoryLagian
Scale 1847Scale 1847: Thacryllic, Ian Ring Music TheoryThacryllic
Scale 1851Scale 1851: Zacryllic, Ian Ring Music TheoryZacryllic
Scale 1827Scale 1827: Katygimic, Ian Ring Music TheoryKatygimic
Scale 1835Scale 1835: Byptian, Ian Ring Music TheoryByptian
Scale 1811Scale 1811: Kyptimic, Ian Ring Music TheoryKyptimic
Scale 1875Scale 1875: Persichetti Scale, Ian Ring Music TheoryPersichetti Scale
Scale 1907Scale 1907: Lynyllic, Ian Ring Music TheoryLynyllic
Scale 1971Scale 1971: Aerynyllic, Ian Ring Music TheoryAerynyllic
Scale 1587Scale 1587: Raga Rudra Pancama, Ian Ring Music TheoryRaga Rudra Pancama
Scale 1715Scale 1715: Harmonic Minor Inverse, Ian Ring Music TheoryHarmonic Minor Inverse
Scale 1331Scale 1331: Raga Vasantabhairavi, Ian Ring Music TheoryRaga Vasantabhairavi
Scale 819Scale 819: Augmented Inverse, Ian Ring Music TheoryAugmented Inverse
Scale 2867Scale 2867: Socrian, Ian Ring Music TheorySocrian
Scale 3891Scale 3891: Ryryllic, Ian Ring Music TheoryRyryllic

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.