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Scale 1727: "Sydygic"

Scale 1727: Sydygic, 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
Sydygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,5,7,9,10}
Forte Number9-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 4013
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 1727 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2911
Scale 2911: Katygic, Ian Ring Music TheoryKatygic
3rd mode:
Scale 3503
Scale 3503: Zyphygic, Ian Ring Music TheoryZyphygic
4th mode:
Scale 3799
Scale 3799: Aeralygic, Ian Ring Music TheoryAeralygic
5th mode:
Scale 3947
Scale 3947: Ryptygic, Ian Ring Music TheoryRyptygic
6th mode:
Scale 4021
Scale 4021: Raga Pahadi, Ian Ring Music TheoryRaga Pahadi
7th mode:
Scale 2029
Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi
8th mode:
Scale 1531
Scale 1531: Styptygic, Ian Ring Music TheoryStyptygic
9th mode:
Scale 2813
Scale 2813: Zolygic, Ian Ring Music TheoryZolygic

Prime

The prime form of this scale is Scale 1471

Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic

Complement

The nonatonic modal family [1727, 2911, 3503, 3799, 3947, 4021, 2029, 1531, 2813] (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 1727 is 4013

Scale 4013Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1727 is chiral, and its enantiomorph is scale 4013

Scale 4013Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu

Transformations:

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

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 1725Scale 1725: Minor Bebop, Ian Ring Music TheoryMinor Bebop
Scale 1723Scale 1723: JG Octatonic, Ian Ring Music TheoryJG Octatonic
Scale 1719Scale 1719: Lyryllic, Ian Ring Music TheoryLyryllic
Scale 1711Scale 1711: Adonai Malakh, Ian Ring Music TheoryAdonai Malakh
Scale 1695Scale 1695: Phrodyllic, Ian Ring Music TheoryPhrodyllic
Scale 1759Scale 1759: Pylygic, Ian Ring Music TheoryPylygic
Scale 1791Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllian
Scale 1599Scale 1599: Pocryllic, Ian Ring Music TheoryPocryllic
Scale 1663Scale 1663: Lydygic, Ian Ring Music TheoryLydygic
Scale 1855Scale 1855: Gaptygic, Ian Ring Music TheoryGaptygic
Scale 1983Scale 1983: Soryllian, Ian Ring Music TheorySoryllian
Scale 1215Scale 1215, Ian Ring Music Theory
Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic
Scale 703Scale 703: Aerocryllic, Ian Ring Music TheoryAerocryllic
Scale 2751Scale 2751: Sylygic, Ian Ring Music TheorySylygic
Scale 3775Scale 3775: Loptyllian, Ian Ring Music TheoryLoptyllian

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.