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Scale 677: "Scottish Pentatonic"

Scale 677: Scottish Pentatonic, 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

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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

Exoticisms
Scottish Pentatonic
Jazz and Blues
Blues Major
Unknown / Unsorted
Ritusen
Ritsu
Gagaku
Ujo
Bac
Lai Soutsanaen
Lai Po Sai
Lai Soi
Durga
Suddha Saveri
Arabhi
Chinese
Zhi
Zhîdiào
Korean
P'yôngjo
Carnatic Raga
Raga Devakriya
Western Modern
Major Complement
Ethiopian
Ambassel Type 2
Zeitler
Mynitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,5,7,9}
Forte Number5-35
Rotational Symmetrynone
Reflection Axes1
Palindromicno
Chiralityno
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections1
Modes4
Prime?no
prime: 661
Deep Scaleno
Interval Vector032140
Interval Spectrump4mn2s3
Distribution Spectra<1> = {2,3}
<2> = {4,5}
<3> = {7,8}
<4> = {9,10}
Spectra Variation0.8
Maximally Evenyes
Myhill Propertyyes
Balancedno
Ridge Tones[2]
ProprietyStrictly Proper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 677 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1193
Scale 1193: Minor Pentatonic, Ian Ring Music TheoryMinor Pentatonic
3rd mode:
Scale 661
Scale 661: Major Pentatonic, Ian Ring Music TheoryMajor PentatonicThis is the prime mode
4th mode:
Scale 1189
Scale 1189: Suspended Pentatonic, Ian Ring Music TheorySuspended Pentatonic
5th mode:
Scale 1321
Scale 1321: Blues Minor, Ian Ring Music TheoryBlues Minor

Prime

The prime form of this scale is Scale 661

Scale 661Scale 661: Major Pentatonic, Ian Ring Music TheoryMajor Pentatonic

Complement

The pentatonic modal family [677, 1193, 661, 1189, 1321] (Forte: 5-35) is the complement of the heptatonic modal family [1387, 1451, 1453, 1709, 1717, 2741, 2773] (Forte: 7-35)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 677 is 1193

Scale 1193Scale 1193: Minor Pentatonic, Ian Ring Music TheoryMinor Pentatonic

Transformations:

T0 677  T0I 1193
T1 1354  T1I 2386
T2 2708  T2I 677
T3 1321  T3I 1354
T4 2642  T4I 2708
T5 1189  T5I 1321
T6 2378  T6I 2642
T7 661  T7I 1189
T8 1322  T8I 2378
T9 2644  T9I 661
T10 1193  T10I 1322
T11 2386  T11I 2644

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 679Scale 679: Lanimic, Ian Ring Music TheoryLanimic
Scale 673Scale 673, Ian Ring Music Theory
Scale 675Scale 675: Altered Pentatonic, Ian Ring Music TheoryAltered Pentatonic
Scale 681Scale 681: Kyemyonjo, Ian Ring Music TheoryKyemyonjo
Scale 685Scale 685: Raga Suddha Bangala, Ian Ring Music TheoryRaga Suddha Bangala
Scale 693Scale 693: Arezzo Major Diatonic Hexachord, Ian Ring Music TheoryArezzo Major Diatonic Hexachord
Scale 645Scale 645, Ian Ring Music Theory
Scale 661Scale 661: Major Pentatonic, Ian Ring Music TheoryMajor Pentatonic
Scale 709Scale 709: Raga Shri Kalyan, Ian Ring Music TheoryRaga Shri Kalyan
Scale 741Scale 741: Gathimic, Ian Ring Music TheoryGathimic
Scale 549Scale 549: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
Scale 613Scale 613: Phralitonic, Ian Ring Music TheoryPhralitonic
Scale 805Scale 805: Rothitonic, Ian Ring Music TheoryRothitonic
Scale 933Scale 933: Dadimic, Ian Ring Music TheoryDadimic
Scale 165Scale 165: Genus Primum, Ian Ring Music TheoryGenus Primum
Scale 421Scale 421: Han-kumoi, Ian Ring Music TheoryHan-kumoi
Scale 1189Scale 1189: Suspended Pentatonic, Ian Ring Music TheorySuspended Pentatonic
Scale 1701Scale 1701: Dominant Seventh, Ian Ring Music TheoryDominant Seventh
Scale 2725Scale 2725: Raga Nagagandhari, Ian Ring Music TheoryRaga Nagagandhari

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.