The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1021: "Ladygic"

Scale 1021: Ladygic, 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
Ladygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,3,4,5,6,7,8,9}
Forte Number9-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2041
Hemitonia7 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 767
Deep Scaleno
Interval Vector777663
Interval Spectrump6m6n7s7d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {7,8,9,10}
<8> = {9,10,11}
Spectra Variation2.444
Maximally Evenno
Maximal Area Setno
Interior Area2.683
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}242.43
D{2,6,9}342.43
F{5,9,0}442.07
G♯{8,0,3}342.29
Minor Triadscm{0,3,7}342.43
dm{2,5,9}342.29
fm{5,8,0}342.14
am{9,0,4}342.14
Augmented TriadsC+{0,4,8}442.07
Diminished Triads{0,3,6}242.57
{2,5,8}242.5
d♯°{3,6,9}242.57
f♯°{6,9,0}242.43
{9,0,3}242.5
Parsimonious Voice Leading Between Common Triads of Scale 1021. Created by Ian Ring ©2019 cm cm c°->cm d#° d#° c°->d#° C C cm->C G# G# cm->G# C+ C+ C->C+ fm fm C+->fm C+->G# am am C+->am dm dm d°->dm d°->fm D D dm->D F F dm->F D->d#° f#° f#° D->f#° fm->F F->f#° F->am G#->a° a°->am

view full size

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.

Diameter4
Radius4
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 1021 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1279
Scale 1279: Sarygic, Ian Ring Music TheorySarygic
3rd mode:
Scale 2687
Scale 2687: Thacrygic, Ian Ring Music TheoryThacrygic
4th mode:
Scale 3391
Scale 3391: Aeolynygic, Ian Ring Music TheoryAeolynygic
5th mode:
Scale 3743
Scale 3743: Thadygic, Ian Ring Music TheoryThadygic
6th mode:
Scale 3919
Scale 3919: Lynygic, Ian Ring Music TheoryLynygic
7th mode:
Scale 4007
Scale 4007: Doptygic, Ian Ring Music TheoryDoptygic
8th mode:
Scale 4051
Scale 4051: Ionilygic, Ian Ring Music TheoryIonilygic
9th mode:
Scale 4073
Scale 4073: Sathygic, Ian Ring Music TheorySathygic

Prime

The prime form of this scale is Scale 767

Scale 767Scale 767: Raptygic, Ian Ring Music TheoryRaptygic

Complement

The nonatonic modal family [1021, 1279, 2687, 3391, 3743, 3919, 4007, 4051, 4073] (Forte: 9-2) is the complement of the tritonic modal family [11, 1537, 2053] (Forte: 3-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1021 is 2041

Scale 2041Scale 2041: Aeolacrygic, Ian Ring Music TheoryAeolacrygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1021 is chiral, and its enantiomorph is scale 2041

Scale 2041Scale 2041: Aeolacrygic, Ian Ring Music TheoryAeolacrygic

Transformations:

T0 1021  T0I 2041
T1 2042  T1I 4082
T2 4084  T2I 4069
T3 4073  T3I 4043
T4 4051  T4I 3991
T5 4007  T5I 3887
T6 3919  T6I 3679
T7 3743  T7I 3263
T8 3391  T8I 2431
T9 2687  T9I 767
T10 1279  T10I 1534
T11 2558  T11I 3068

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 1023Scale 1023: Dodyllian, Ian Ring Music TheoryDodyllian
Scale 1017Scale 1017: Dythyllic, Ian Ring Music TheoryDythyllic
Scale 1019Scale 1019: Aeranygic, Ian Ring Music TheoryAeranygic
Scale 1013Scale 1013: Stydyllic, Ian Ring Music TheoryStydyllic
Scale 1005Scale 1005: Radyllic, Ian Ring Music TheoryRadyllic
Scale 989Scale 989: Phrolyllic, Ian Ring Music TheoryPhrolyllic
Scale 957Scale 957: Phronyllic, Ian Ring Music TheoryPhronyllic
Scale 893Scale 893: Dadyllic, Ian Ring Music TheoryDadyllic
Scale 765Scale 765, Ian Ring Music Theory
Scale 509Scale 509: Ionothyllic, Ian Ring Music TheoryIonothyllic
Scale 1533Scale 1533: Katycrygic, Ian Ring Music TheoryKatycrygic
Scale 2045Scale 2045: Katogyllian, Ian Ring Music TheoryKatogyllian
Scale 3069Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza

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.