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Scale 1897: "Ionopian"

Scale 1897: Ionopian, 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
Ionopian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,3,5,6,8,9,10}
Forte Number7-25
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 733
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 733
Deep Scaleno
Interval Vector345342
Interval Spectrump4m3n5s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1897 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 749
Scale 749: Aeologian, Ian Ring Music TheoryAeologian
3rd mode:
Scale 1211
Scale 1211: Zadian, Ian Ring Music TheoryZadian
4th mode:
Scale 2653
Scale 2653: Sygian, Ian Ring Music TheorySygian
5th mode:
Scale 1687
Scale 1687: Phralian, Ian Ring Music TheoryPhralian
6th mode:
Scale 2891
Scale 2891: Phrogian, Ian Ring Music TheoryPhrogian
7th mode:
Scale 3493
Scale 3493: Rathian, Ian Ring Music TheoryRathian

Prime

The prime form of this scale is Scale 733

Scale 733Scale 733: Donian, Ian Ring Music TheoryDonian

Complement

The heptatonic modal family [1897, 749, 1211, 2653, 1687, 2891, 3493] (Forte: 7-25) is the complement of the pentatonic modal family [301, 721, 1099, 1673, 2597] (Forte: 5-25)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1897 is 733

Scale 733Scale 733: Donian, Ian Ring Music TheoryDonian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1897 is chiral, and its enantiomorph is scale 733

Scale 733Scale 733: Donian, Ian Ring Music TheoryDonian

Transformations:

T0 1897  T0I 733
T1 3794  T1I 1466
T2 3493  T2I 2932
T3 2891  T3I 1769
T4 1687  T4I 3538
T5 3374  T5I 2981
T6 2653  T6I 1867
T7 1211  T7I 3734
T8 2422  T8I 3373
T9 749  T9I 2651
T10 1498  T10I 1207
T11 2996  T11I 2414

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 1899Scale 1899: Moptyllic, Ian Ring Music TheoryMoptyllic
Scale 1901Scale 1901: Ionidyllic, Ian Ring Music TheoryIonidyllic
Scale 1889Scale 1889, Ian Ring Music Theory
Scale 1893Scale 1893: Ionylian, Ian Ring Music TheoryIonylian
Scale 1905Scale 1905: Katacrian, Ian Ring Music TheoryKatacrian
Scale 1913Scale 1913, Ian Ring Music Theory
Scale 1865Scale 1865: Thagimic, Ian Ring Music TheoryThagimic
Scale 1881Scale 1881: Katorian, Ian Ring Music TheoryKatorian
Scale 1833Scale 1833: Ionacrimic, Ian Ring Music TheoryIonacrimic
Scale 1961Scale 1961: Soptian, Ian Ring Music TheorySoptian
Scale 2025Scale 2025, Ian Ring Music Theory
Scale 1641Scale 1641: Bocrimic, Ian Ring Music TheoryBocrimic
Scale 1769Scale 1769: Blues Heptatonic II, Ian Ring Music TheoryBlues Heptatonic II
Scale 1385Scale 1385: Phracrimic, Ian Ring Music TheoryPhracrimic
Scale 873Scale 873: Bagimic, Ian Ring Music TheoryBagimic
Scale 2921Scale 2921: Pogian, Ian Ring Music TheoryPogian
Scale 3945Scale 3945: Lydyllic, Ian Ring Music TheoryLydyllic

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.