The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 3059: "Madygic"

Scale 3059: Madygic, 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
Madygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,4,5,6,7,8,9,11}
Forte Number9-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2555
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 959
Deep Scaleno
Interval Vector766773
Interval Spectrump7m7n6s6d7t3
Distribution Spectra<1> = {1,2,3}
<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> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3059 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3577
Scale 3577: Loptygic, Ian Ring Music TheoryLoptygic
3rd mode:
Scale 959
Scale 959: Katylygic, Ian Ring Music TheoryKatylygicThis is the prime mode
4th mode:
Scale 2527
Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic
5th mode:
Scale 3311
Scale 3311: Mixodygic, Ian Ring Music TheoryMixodygic
6th mode:
Scale 3703
Scale 3703: Katalygic, Ian Ring Music TheoryKatalygic
7th mode:
Scale 3899
Scale 3899: Katorygic, Ian Ring Music TheoryKatorygic
8th mode:
Scale 3997
Scale 3997: Dogygic, Ian Ring Music TheoryDogygic
9th mode:
Scale 2023
Scale 2023: Zodygic, Ian Ring Music TheoryZodygic

Prime

The prime form of this scale is Scale 959

Scale 959Scale 959: Katylygic, Ian Ring Music TheoryKatylygic

Complement

The nonatonic modal family [3059, 3577, 959, 2527, 3311, 3703, 3899, 3997, 2023] (Forte: 9-4) is the complement of the tritonic modal family [35, 385, 2065] (Forte: 3-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3059 is 2555

Scale 2555Scale 2555: Bythygic, Ian Ring Music TheoryBythygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3059 is chiral, and its enantiomorph is scale 2555

Scale 2555Scale 2555: Bythygic, Ian Ring Music TheoryBythygic

Transformations:

T0 3059  T0I 2555
T1 2023  T1I 1015
T2 4046  T2I 2030
T3 3997  T3I 4060
T4 3899  T4I 4025
T5 3703  T5I 3955
T6 3311  T6I 3815
T7 2527  T7I 3535
T8 959  T8I 2975
T9 1918  T9I 1855
T10 3836  T10I 3710
T11 3577  T11I 3325

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 3057Scale 3057: Phroryllic, Ian Ring Music TheoryPhroryllic
Scale 3061Scale 3061: Apinygic, Ian Ring Music TheoryApinygic
Scale 3063Scale 3063: Solyllian, Ian Ring Music TheorySolyllian
Scale 3067Scale 3067: Goptyllian, Ian Ring Music TheoryGoptyllian
Scale 3043Scale 3043: Ionayllic, Ian Ring Music TheoryIonayllic
Scale 3051Scale 3051: Stalygic, Ian Ring Music TheoryStalygic
Scale 3027Scale 3027: Rythyllic, Ian Ring Music TheoryRythyllic
Scale 2995Scale 2995: Raga Saurashtra, Ian Ring Music TheoryRaga Saurashtra
Scale 2931Scale 2931: Zathyllic, Ian Ring Music TheoryZathyllic
Scale 2803Scale 2803: Raga Bhatiyar, Ian Ring Music TheoryRaga Bhatiyar
Scale 2547Scale 2547: Raga Ramkali, Ian Ring Music TheoryRaga Ramkali
Scale 3571Scale 3571: Dyrygic, Ian Ring Music TheoryDyrygic
Scale 4083Scale 4083: Bathyllian, Ian Ring Music TheoryBathyllian
Scale 1011Scale 1011: Kycryllic, Ian Ring Music TheoryKycryllic
Scale 2035Scale 2035: Aerythygic, Ian Ring Music TheoryAerythygic

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.