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Scale 2201: "Ionagitonic"

Scale 2201: Ionagitonic, 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
Ionagitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,3,4,7,11}
Forte Number5-21
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 803
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 307
Deep Scaleno
Interval Vector202420
Interval Spectrump2m4n2d2
Distribution Spectra<1> = {1,3,4}
<2> = {4,5,7}
<3> = {5,7,8}
<4> = {8,9,11}
Spectra Variation2.4
Maximally Evenno
Maximal Area Setno
Interior Area1.933
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}221
Minor Triadscm{0,3,7}221
em{4,7,11}221
Augmented TriadsD♯+{3,7,11}221
Parsimonious Voice Leading Between Common Triads of Scale 2201. Created by Ian Ring ©2019 cm cm C C cm->C D#+ D#+ cm->D#+ em em C->em D#+->em

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.

Diameter2
Radius2
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2201 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 787
Scale 787: Aeolapritonic, Ian Ring Music TheoryAeolapritonic
3rd mode:
Scale 2441
Scale 2441: Kyritonic, Ian Ring Music TheoryKyritonic
4th mode:
Scale 817
Scale 817: Zothitonic, Ian Ring Music TheoryZothitonic
5th mode:
Scale 307
Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga MegharanjaniThis is the prime mode

Prime

The prime form of this scale is Scale 307

Scale 307Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga Megharanjani

Complement

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

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2201 is 803

Scale 803Scale 803: Loritonic, Ian Ring Music TheoryLoritonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2201 is chiral, and its enantiomorph is scale 803

Scale 803Scale 803: Loritonic, Ian Ring Music TheoryLoritonic

Transformations:

T0 2201  T0I 803
T1 307  T1I 1606
T2 614  T2I 3212
T3 1228  T3I 2329
T4 2456  T4I 563
T5 817  T5I 1126
T6 1634  T6I 2252
T7 3268  T7I 409
T8 2441  T8I 818
T9 787  T9I 1636
T10 1574  T10I 3272
T11 3148  T11I 2449

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 2203Scale 2203: Dorimic, Ian Ring Music TheoryDorimic
Scale 2205Scale 2205: Ionocrimic, Ian Ring Music TheoryIonocrimic
Scale 2193Scale 2193: Thaptic, Ian Ring Music TheoryThaptic
Scale 2197Scale 2197: Raga Hamsadhvani, Ian Ring Music TheoryRaga Hamsadhvani
Scale 2185Scale 2185: Dygic, Ian Ring Music TheoryDygic
Scale 2217Scale 2217: Kagitonic, Ian Ring Music TheoryKagitonic
Scale 2233Scale 2233: Donimic, Ian Ring Music TheoryDonimic
Scale 2265Scale 2265: Raga Rasamanjari, Ian Ring Music TheoryRaga Rasamanjari
Scale 2073Scale 2073, Ian Ring Music Theory
Scale 2137Scale 2137, Ian Ring Music Theory
Scale 2329Scale 2329: Styditonic, Ian Ring Music TheoryStyditonic
Scale 2457Scale 2457: Major Augmented, Ian Ring Music TheoryMajor Augmented
Scale 2713Scale 2713: Porimic, Ian Ring Music TheoryPorimic
Scale 3225Scale 3225: Ionalimic, Ian Ring Music TheoryIonalimic
Scale 153Scale 153, Ian Ring Music Theory
Scale 1177Scale 1177: Garitonic, Ian Ring Music TheoryGaritonic

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.