The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1743: "Epigyllic"

Scale 1743: Epigyllic, 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
Epigyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,6,7,9,10}
Forte Number8-18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3693
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 879
Deep Scaleno
Interval Vector546553
Interval Spectrump5m5n6s4d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1743 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2919
Scale 2919: Molyllic, Ian Ring Music TheoryMolyllic
3rd mode:
Scale 3507
Scale 3507: Maqam Hijaz, Ian Ring Music TheoryMaqam Hijaz
4th mode:
Scale 3801
Scale 3801: Maptyllic, Ian Ring Music TheoryMaptyllic
5th mode:
Scale 987
Scale 987: Aeraptyllic, Ian Ring Music TheoryAeraptyllic
6th mode:
Scale 2541
Scale 2541: Algerian, Ian Ring Music TheoryAlgerian
7th mode:
Scale 1659
Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban
8th mode:
Scale 2877
Scale 2877: Phrylyllic, Ian Ring Music TheoryPhrylyllic

Prime

The prime form of this scale is Scale 879

Scale 879Scale 879: Aeranyllic, Ian Ring Music TheoryAeranyllic

Complement

The octatonic modal family [1743, 2919, 3507, 3801, 987, 2541, 1659, 2877] (Forte: 8-18) is the complement of the tetratonic modal family [147, 609, 777, 2121] (Forte: 4-18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1743 is 3693

Scale 3693Scale 3693: Stadyllic, Ian Ring Music TheoryStadyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1743 is chiral, and its enantiomorph is scale 3693

Scale 3693Scale 3693: Stadyllic, Ian Ring Music TheoryStadyllic

Transformations:

T0 1743  T0I 3693
T1 3486  T1I 3291
T2 2877  T2I 2487
T3 1659  T3I 879
T4 3318  T4I 1758
T5 2541  T5I 3516
T6 987  T6I 2937
T7 1974  T7I 1779
T8 3948  T8I 3558
T9 3801  T9I 3021
T10 3507  T10I 1947
T11 2919  T11I 3894

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 1741Scale 1741: Lydian Diminished, Ian Ring Music TheoryLydian Diminished
Scale 1739Scale 1739: Mela Sadvidhamargini, Ian Ring Music TheoryMela Sadvidhamargini
Scale 1735Scale 1735: Mela Navanitam, Ian Ring Music TheoryMela Navanitam
Scale 1751Scale 1751: Aeolyryllic, Ian Ring Music TheoryAeolyryllic
Scale 1759Scale 1759: Pylygic, Ian Ring Music TheoryPylygic
Scale 1775Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygic
Scale 1679Scale 1679: Kydian, Ian Ring Music TheoryKydian
Scale 1711Scale 1711: Adonai Malakh, Ian Ring Music TheoryAdonai Malakh
Scale 1615Scale 1615: Sydian, Ian Ring Music TheorySydian
Scale 1871Scale 1871: Aeolyllic, Ian Ring Music TheoryAeolyllic
Scale 1999Scale 1999: Zacrygic, Ian Ring Music TheoryZacrygic
Scale 1231Scale 1231: Logian, Ian Ring Music TheoryLogian
Scale 1487Scale 1487: Mothyllic, Ian Ring Music TheoryMothyllic
Scale 719Scale 719: Kanian, Ian Ring Music TheoryKanian
Scale 2767Scale 2767: Katydyllic, Ian Ring Music TheoryKatydyllic
Scale 3791Scale 3791: Stodygic, Ian Ring Music TheoryStodygic

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.