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Scale 3577: "Loptygic"

Scale 3577: Loptygic, 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
Loptygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,3,4,5,6,7,8,10,11}
Forte Number9-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1015
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 3577 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 959
Scale 959: Katylygic, Ian Ring Music TheoryKatylygicThis is the prime mode
3rd mode:
Scale 2527
Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic
4th mode:
Scale 3311
Scale 3311: Mixodygic, Ian Ring Music TheoryMixodygic
5th mode:
Scale 3703
Scale 3703: Katalygic, Ian Ring Music TheoryKatalygic
6th mode:
Scale 3899
Scale 3899: Katorygic, Ian Ring Music TheoryKatorygic
7th mode:
Scale 3997
Scale 3997: Dogygic, Ian Ring Music TheoryDogygic
8th mode:
Scale 2023
Scale 2023: Zodygic, Ian Ring Music TheoryZodygic
9th mode:
Scale 3059
Scale 3059: Madygic, Ian Ring Music TheoryMadygic

Prime

The prime form of this scale is Scale 959

Scale 959Scale 959: Katylygic, Ian Ring Music TheoryKatylygic

Complement

The nonatonic modal family [3577, 959, 2527, 3311, 3703, 3899, 3997, 2023, 3059] (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 3577 is 1015

Scale 1015Scale 1015: Ionodygic, Ian Ring Music TheoryIonodygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3577 is chiral, and its enantiomorph is scale 1015

Scale 1015Scale 1015: Ionodygic, Ian Ring Music TheoryIonodygic

Transformations:

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

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 3579Scale 3579: Zyphyllian, Ian Ring Music TheoryZyphyllian
Scale 3581Scale 3581: Epocryllian, Ian Ring Music TheoryEpocryllian
Scale 3569Scale 3569: Aeoladyllic, Ian Ring Music TheoryAeoladyllic
Scale 3573Scale 3573: Kaptygic, Ian Ring Music TheoryKaptygic
Scale 3561Scale 3561: Pothyllic, Ian Ring Music TheoryPothyllic
Scale 3545Scale 3545: Thyptyllic, Ian Ring Music TheoryThyptyllic
Scale 3513Scale 3513: Dydyllic, Ian Ring Music TheoryDydyllic
Scale 3449Scale 3449: Bacryllic, Ian Ring Music TheoryBacryllic
Scale 3321Scale 3321: Epagyllic, Ian Ring Music TheoryEpagyllic
Scale 3833Scale 3833: Dycrygic, Ian Ring Music TheoryDycrygic
Scale 4089Scale 4089: Katoryllian, Ian Ring Music TheoryKatoryllian
Scale 2553Scale 2553: Aeolaptyllic, Ian Ring Music TheoryAeolaptyllic
Scale 3065Scale 3065: Zothygic, Ian Ring Music TheoryZothygic
Scale 1529Scale 1529: Kataryllic, Ian Ring Music TheoryKataryllic

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.