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Scale 4077: "Gothyllian"

Scale 4077: Gothyllian, Ian Ring Music Theory

Bracelet Diagram

Tonnetz Diagram

41161837294116105072918310504116183

Common Names

Zeitler
Gothyllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,2,3,5,6,7,8,9,10,11}
Forte Number10-3
Rotational Symmetrynone
Reflection Axes2.5
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections2
Modes9
Prime?no
prime: 1791
Deep Scaleno
Interval Vector889884
Interval Spectrump8m8n9s8d8t4
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {5,6,7}
<6> = {6,7,8}
<7> = {7,8,9}
<8> = {9,10}
<9> = {10,11}
Spectra Variation1.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[5]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4077 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 2043
Scale 2043: Maqam Tarzanuyn, Ian Ring Music TheoryMaqam Tarzanuyn
3rd mode:
Scale 3069
Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza
4th mode:
Scale 1791
Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllianThis is the prime mode
5th mode:
Scale 2943
Scale 2943: Dathyllian, Ian Ring Music TheoryDathyllian
6th mode:
Scale 3519
Scale 3519: Raga Sindhi-Bhairavi, Ian Ring Music TheoryRaga Sindhi-Bhairavi
7th mode:
Scale 3807
Scale 3807: Bagyllian, Ian Ring Music TheoryBagyllian
8th mode:
Scale 3951
Scale 3951: Mathyllian, Ian Ring Music TheoryMathyllian
9th mode:
Scale 4023
Scale 4023: Styptyllian, Ian Ring Music TheoryStyptyllian
10th mode:
Scale 4059
Scale 4059: Zolyllian, Ian Ring Music TheoryZolyllian

Prime

The prime form of this scale is Scale 1791

Scale 1791Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllian

Complement

The decatonic modal family [4077, 2043, 3069, 1791, 2943, 3519, 3807, 3951, 4023, 4059] (Forte: 10-3) is the complement of the modal family [9, 513] (Forte: 2-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4077 is 1791

Scale 1791Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllian

Transformations:

T0 4077  T0I 1791
T1 4059  T1I 3582
T2 4023  T2I 3069
T3 3951  T3I 2043
T4 3807  T4I 4086
T5 3519  T5I 4077
T6 2943  T6I 4059
T7 1791  T7I 4023
T8 3582  T8I 3951
T9 3069  T9I 3807
T10 2043  T10I 3519
T11 4086  T11I 2943

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 4079Scale 4079: Ionatic, Ian Ring Music TheoryIonatic
Scale 4073Scale 4073: Sathygic, Ian Ring Music TheorySathygic
Scale 4075Scale 4075: Katyllian, Ian Ring Music TheoryKatyllian
Scale 4069Scale 4069: Starygic, Ian Ring Music TheoryStarygic
Scale 4085Scale 4085: Sydyllian, Ian Ring Music TheorySydyllian
Scale 4093Scale 4093: Aerycratic, Ian Ring Music TheoryAerycratic
Scale 4045Scale 4045: Gyptygic, Ian Ring Music TheoryGyptygic
Scale 4061Scale 4061: Staptyllian, Ian Ring Music TheoryStaptyllian
Scale 4013Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu
Scale 3949Scale 3949: Koptygic, Ian Ring Music TheoryKoptygic
Scale 3821Scale 3821: Epyrygic, Ian Ring Music TheoryEpyrygic
Scale 3565Scale 3565: Aeolorygic, Ian Ring Music TheoryAeolorygic
Scale 3053Scale 3053: Zycrygic, Ian Ring Music TheoryZycrygic
Scale 2029Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi

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. Bibliography