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Scale 589: "Ionalitonic"

Scale 589: Ionalitonic, 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
Ionalitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,3,6,9}
Forte Number5-31
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1609
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 587
Deep Scaleno
Interval Vector114112
Interval Spectrumpmn4sdt2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5,6}
<3> = {6,7,8,9}
<4> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 589 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1171
Scale 1171: Raga Manaranjani I, Ian Ring Music TheoryRaga Manaranjani I
3rd mode:
Scale 2633
Scale 2633: Mixitonic, Ian Ring Music TheoryMixitonic
4th mode:
Scale 841
Scale 841: Phrothitonic, Ian Ring Music TheoryPhrothitonic
5th mode:
Scale 617
Scale 617: Katycritonic, Ian Ring Music TheoryKatycritonic

Prime

The prime form of this scale is Scale 587

Scale 587Scale 587: Pathitonic, Ian Ring Music TheoryPathitonic

Complement

The pentatonic modal family [589, 1171, 2633, 841, 617] (Forte: 5-31) is the complement of the heptatonic modal family [731, 1627, 1739, 1753, 2413, 2861, 2917] (Forte: 7-31)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 589 is 1609

Scale 1609Scale 1609: Thyritonic, Ian Ring Music TheoryThyritonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 589 is chiral, and its enantiomorph is scale 1609

Scale 1609Scale 1609: Thyritonic, Ian Ring Music TheoryThyritonic

Transformations:

T0 589  T0I 1609
T1 1178  T1I 3218
T2 2356  T2I 2341
T3 617  T3I 587
T4 1234  T4I 1174
T5 2468  T5I 2348
T6 841  T6I 601
T7 1682  T7I 1202
T8 3364  T8I 2404
T9 2633  T9I 713
T10 1171  T10I 1426
T11 2342  T11I 2852

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 591Scale 591: Gaptimic, Ian Ring Music TheoryGaptimic
Scale 585Scale 585: Diminished Seventh, Ian Ring Music TheoryDiminished Seventh
Scale 587Scale 587: Pathitonic, Ian Ring Music TheoryPathitonic
Scale 581Scale 581: Eporic, Ian Ring Music TheoryEporic
Scale 597Scale 597: Kung, Ian Ring Music TheoryKung
Scale 605Scale 605: Dycrimic, Ian Ring Music TheoryDycrimic
Scale 621Scale 621: Pyramid Hexatonic, Ian Ring Music TheoryPyramid Hexatonic
Scale 525Scale 525, Ian Ring Music Theory
Scale 557Scale 557: Raga Abhogi, Ian Ring Music TheoryRaga Abhogi
Scale 653Scale 653: Dorian Pentatonic, Ian Ring Music TheoryDorian Pentatonic
Scale 717Scale 717: Raga Vijayanagari, Ian Ring Music TheoryRaga Vijayanagari
Scale 845Scale 845: Raga Neelangi, Ian Ring Music TheoryRaga Neelangi
Scale 77Scale 77, Ian Ring Music Theory
Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic
Scale 1101Scale 1101: Stothitonic, Ian Ring Music TheoryStothitonic
Scale 1613Scale 1613: Thylimic, Ian Ring Music TheoryThylimic
Scale 2637Scale 2637: Raga Ranjani, Ian Ring Music TheoryRaga Ranjani

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.