The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2027: "Boptygic"

Scale 2027: Boptygic, 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
Boptygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,3,5,6,7,8,9,10}
Forte Number9-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2813
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
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2027 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3061
Scale 3061: Apinygic, Ian Ring Music TheoryApinygic
3rd mode:
Scale 1789
Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II
4th mode:
Scale 1471
Scale 1471: Radygic, Ian Ring Music TheoryRadygicThis is the prime mode
5th mode:
Scale 2783
Scale 2783: Gothygic, Ian Ring Music TheoryGothygic
6th mode:
Scale 3439
Scale 3439: Lythygic, Ian Ring Music TheoryLythygic
7th mode:
Scale 3767
Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
8th mode:
Scale 3931
Scale 3931: Aerygic, Ian Ring Music TheoryAerygic
9th mode:
Scale 4013
Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu

Prime

The prime form of this scale is Scale 1471

Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic

Complement

The nonatonic modal family [2027, 3061, 1789, 1471, 2783, 3439, 3767, 3931, 4013] (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 2027 is 2813

Scale 2813Scale 2813: Zolygic, Ian Ring Music TheoryZolygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2027 is chiral, and its enantiomorph is scale 2813

Scale 2813Scale 2813: Zolygic, Ian Ring Music TheoryZolygic

Transformations:

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

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 2025Scale 2025, Ian Ring Music Theory
Scale 2029Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi
Scale 2031Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian
Scale 2019Scale 2019: Palyllic, Ian Ring Music TheoryPalyllic
Scale 2023Scale 2023: Zodygic, Ian Ring Music TheoryZodygic
Scale 2035Scale 2035: Aerythygic, Ian Ring Music TheoryAerythygic
Scale 2043Scale 2043: Maqam Tarzanuyn, Ian Ring Music TheoryMaqam Tarzanuyn
Scale 1995Scale 1995: Aeolacryllic, Ian Ring Music TheoryAeolacryllic
Scale 2011Scale 2011: Raphygic, Ian Ring Music TheoryRaphygic
Scale 1963Scale 1963: Epocryllic, Ian Ring Music TheoryEpocryllic
Scale 1899Scale 1899: Moptyllic, Ian Ring Music TheoryMoptyllic
Scale 1771Scale 1771, Ian Ring Music Theory
Scale 1515Scale 1515: Phrygian/Locrian Mixed, Ian Ring Music TheoryPhrygian/Locrian Mixed
Scale 1003Scale 1003: Ionyryllic, Ian Ring Music TheoryIonyryllic
Scale 3051Scale 3051: Stalygic, Ian Ring Music TheoryStalygic
Scale 4075Scale 4075: Katyllian, Ian Ring Music TheoryKatyllian

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.