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Scale 2029: "Kiourdi"

Scale 2029: Kiourdi, 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

Unknown / Unsorted
Kiourdi
Zeitler
Mathygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,3,5,6,7,8,9,10}
Forte Number9-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1789
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1471
Deep Scaleno
Interval Vector677673
Interval Spectrump7m6n7s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.778
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2029 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1531
Scale 1531: Styptygic, Ian Ring Music TheoryStyptygic
3rd mode:
Scale 2813
Scale 2813: Zolygic, Ian Ring Music TheoryZolygic
4th mode:
Scale 1727
Scale 1727: Sydygic, Ian Ring Music TheorySydygic
5th mode:
Scale 2911
Scale 2911: Katygic, Ian Ring Music TheoryKatygic
6th mode:
Scale 3503
Scale 3503: Zyphygic, Ian Ring Music TheoryZyphygic
7th mode:
Scale 3799
Scale 3799: Aeralygic, Ian Ring Music TheoryAeralygic
8th mode:
Scale 3947
Scale 3947: Ryptygic, Ian Ring Music TheoryRyptygic
9th mode:
Scale 4021
Scale 4021: Raga Pahadi, Ian Ring Music TheoryRaga Pahadi

Prime

The prime form of this scale is Scale 1471

Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic

Complement

The nonatonic modal family [2029, 1531, 2813, 1727, 2911, 3503, 3799, 3947, 4021] (Forte: 9-7) is the complement of the tritonic modal family [37, 641, 1033] (Forte: 3-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2029 is 1789

Scale 1789Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2029 is chiral, and its enantiomorph is scale 1789

Scale 1789Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II

Transformations:

T0 2029  T0I 1789
T1 4058  T1I 3578
T2 4021  T2I 3061
T3 3947  T3I 2027
T4 3799  T4I 4054
T5 3503  T5I 4013
T6 2911  T6I 3931
T7 1727  T7I 3767
T8 3454  T8I 3439
T9 2813  T9I 2783
T10 1531  T10I 1471
T11 3062  T11I 2942

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 2031Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian
Scale 2025Scale 2025, Ian Ring Music Theory
Scale 2027Scale 2027: Boptygic, Ian Ring Music TheoryBoptygic
Scale 2021Scale 2021: Katycryllic, Ian Ring Music TheoryKatycryllic
Scale 2037Scale 2037: Sythygic, Ian Ring Music TheorySythygic
Scale 2045Scale 2045: Katogyllian, Ian Ring Music TheoryKatogyllian
Scale 1997Scale 1997: Raga Cintamani, Ian Ring Music TheoryRaga Cintamani
Scale 2013Scale 2013: Mocrygic, Ian Ring Music TheoryMocrygic
Scale 1965Scale 1965: Raga Mukhari, Ian Ring Music TheoryRaga Mukhari
Scale 1901Scale 1901: Ionidyllic, Ian Ring Music TheoryIonidyllic
Scale 1773Scale 1773: Blues Scale II, Ian Ring Music TheoryBlues Scale II
Scale 1517Scale 1517: Sagyllic, Ian Ring Music TheorySagyllic
Scale 1005Scale 1005: Radyllic, Ian Ring Music TheoryRadyllic
Scale 3053Scale 3053: Zycrygic, Ian Ring Music TheoryZycrygic
Scale 4077Scale 4077: Gothyllian, Ian Ring Music TheoryGothyllian

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.