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Scale 2225: "Ionian Pentatonic"

Scale 2225: Ionian Pentatonic, 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

Western Modern
Ionian Pentatonic
Carnatic Raga
Raga Gambhiranata
African
Pelog Degung Modern
Unknown / Unsorted
Ryukyu
Vong co
Ethiopian
Batti Major
Zeitler
Gonitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,4,5,7,11}
Forte Number5-20
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 419
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes4
Prime?no
prime: 355
Deep Scaleno
Interval Vector211231
Interval Spectrump3m2nsd2t
Distribution Spectra<1> = {1,2,4}
<2> = {3,5,6}
<3> = {6,7,9}
<4> = {8,10,11}
Spectra Variation2.4
Maximally Evenno
Maximal Area Setno
Interior Area1.799
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}110.5
Minor Triadsem{4,7,11}110.5
Parsimonious Voice Leading Between Common Triads of Scale 2225. Created by Ian Ring ©2019 C C em em C->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.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2225 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 395
Scale 395: Phrygian Pentatonic, Ian Ring Music TheoryPhrygian Pentatonic
3rd mode:
Scale 2245
Scale 2245: Raga Vaijayanti, Ian Ring Music TheoryRaga Vaijayanti
4th mode:
Scale 1585
Scale 1585: Raga Khamaji Durga, Ian Ring Music TheoryRaga Khamaji Durga
5th mode:
Scale 355
Scale 355: Aeoloritonic, Ian Ring Music TheoryAeoloritonicThis is the prime mode

Prime

The prime form of this scale is Scale 355

Scale 355Scale 355: Aeoloritonic, Ian Ring Music TheoryAeoloritonic

Complement

The pentatonic modal family [2225, 395, 2245, 1585, 355] (Forte: 5-20) is the complement of the heptatonic modal family [743, 919, 1849, 2419, 2507, 3257, 3301] (Forte: 7-20)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2225 is 419

Scale 419Scale 419: Hon-kumoi-joshi, Ian Ring Music TheoryHon-kumoi-joshi

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2225 is chiral, and its enantiomorph is scale 419

Scale 419Scale 419: Hon-kumoi-joshi, Ian Ring Music TheoryHon-kumoi-joshi

Transformations:

T0 2225  T0I 419
T1 355  T1I 838
T2 710  T2I 1676
T3 1420  T3I 3352
T4 2840  T4I 2609
T5 1585  T5I 1123
T6 3170  T6I 2246
T7 2245  T7I 397
T8 395  T8I 794
T9 790  T9I 1588
T10 1580  T10I 3176
T11 3160  T11I 2257

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 2227Scale 2227: Raga Gaula, Ian Ring Music TheoryRaga Gaula
Scale 2229Scale 2229: Raga Nalinakanti, Ian Ring Music TheoryRaga Nalinakanti
Scale 2233Scale 2233: Donimic, Ian Ring Music TheoryDonimic
Scale 2209Scale 2209, Ian Ring Music Theory
Scale 2217Scale 2217: Kagitonic, Ian Ring Music TheoryKagitonic
Scale 2193Scale 2193: Thaptic, Ian Ring Music TheoryThaptic
Scale 2257Scale 2257: Lydian Pentatonic, Ian Ring Music TheoryLydian Pentatonic
Scale 2289Scale 2289: Mocrimic, Ian Ring Music TheoryMocrimic
Scale 2097Scale 2097, Ian Ring Music Theory
Scale 2161Scale 2161, Ian Ring Music Theory
Scale 2353Scale 2353: Raga Girija, Ian Ring Music TheoryRaga Girija
Scale 2481Scale 2481: Raga Paraju, Ian Ring Music TheoryRaga Paraju
Scale 2737Scale 2737: Raga Hari Nata, Ian Ring Music TheoryRaga Hari Nata
Scale 3249Scale 3249: Raga Tilang, Ian Ring Music TheoryRaga Tilang
Scale 177Scale 177, Ian Ring Music Theory
Scale 1201Scale 1201: Mixolydian Pentatonic, Ian Ring Music TheoryMixolydian Pentatonic

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.