Functional Just System - Revision history

Eufalesio: Fixed the table and added intervals

2025-11-27T23:52:13Z

Fixed the table and added intervals

Eufalesio: Neutral was wrong

2025-11-09T13:52:14Z

Neutral was wrong

← Older revision		Revision as of 13:52, 9 November 2025
Line 207:		Line 207:
	\| D		\| D
	\| E<sup>5</sup>		\| E<sup>5</sup>
	\| '''E♯<sup>11</sup>'''		\| '''F‡<sup>11</sup>'''
	\| G		\| G
	\| '''G♯<sup>13</sup>'''		\| '''Ad<sup>13</sup>'''
	\| B♭<sup>7</sup>		\| B♭<sup>7</sup>
	\| B<sup>5</sup>		\| B<sup>5</sup>
Line 220:		Line 220:
	\| E<sup>5</sup>		\| E<sup>5</sup>
	\| F<sup>7</sup>		\| F<sup>7</sup>
	\| '''E♯<sup>11</sup>'''		\| '''F‡<sup>11</sup>'''
	\| ~~'''~~F♯<sup>23</sup>~~'''~~		\| F♯<sup>23</sup>
	\| G		\| G
	\|-		\|-
	! 25–32		! 25–32
	\| G♯<sup>25</sup>		\| G♯<sup>25</sup>
	\| '''G♯<sup>13</sup>'''		\| '''Ad<sup>13</sup>'''
	\| A		\| A
	\| B♭<sup>7</sup>		\| B♭<sup>7</sup>
	\| '''A♯<sup>29</sup>'''		\| '''Bd<sup>29</sup>'''
	\| B<sup>5</sup>		\| B<sup>5</sup>
	\| '''D𝄫<sup>31</sup>'''		\| '''B‡<sup>31</sup>'''
	\| C		\| C
	\|}		\|}

Eufalesio: Added commas up to the 89-limit of three different lambdas

2025-11-09T13:36:46Z

Added commas up to the 89-limit of three different lambdas

Show changes

FloraC: /* Quick reference */ cleanup ("32-limit" doesn't exist)

2025-07-16T10:45:53Z

Quick reference: cleanup ("32-limit" doesn't exist)

← Older revision		Revision as of 10:45, 16 July 2025
Line 18:		Line 18:
	=== Formal commas ===		=== Formal commas ===
	{\| class="wikitable center-all"		{\| class="wikitable center-all"
	\|+ style="font-size: 105%;" \| Formal commas ~~below 32~~-limit		\|+ style="font-size: 105%;" \| Formal commas up to the 31-limit
	\|-		\|-
	! Prime		! Prime
	! Formal ~~Comma~~		! Formal comma
	\|-		\|-
	\| [[5-limit\|5]]		\| [[5-limit\|5]]

Lériendil at 16:22, 11 June 2025

2025-06-11T16:22:26Z

← Older revision		Revision as of 16:22, 11 June 2025
Line 95:		Line 95:
	\| C		\| C
	\|}		\|}

			== See also ==
			* [[Neutral FJS]]

	{{Navbox notation}}		{{Navbox notation}}

Xenllium at 03:57, 18 May 2025

2025-05-18T03:57:30Z

← Older revision		Revision as of 03:57, 18 May 2025
Line 7:		Line 7:
	The '''Functional Just System''' ('''FJS''') is a logical notation system for the entirety of [[just intonation]] (JI) which claims to be both more coherent and more succinct than both [[Helmholtz–Ellis notation]] and [[Ben Johnston's notation]].		The '''Functional Just System''' ('''FJS''') is a logical notation system for the entirety of [[just intonation]] (JI) which claims to be both more coherent and more succinct than both [[Helmholtz–Ellis notation]] and [[Ben Johnston's notation]].

	The Functional Just System can be seen as an extension of the Pythagorean system: the base name of a note (G, D, A♭, etc.) or interval (P5, M2, m6) is calculated by a fifth distance superscript or subscript numbers are added to mark the deviation from the pythagorean base. The chain of fifths used is controlled by a threshold value (or "radius of tolerance") that is λ = 65/63 by default (in ''“The radius of tolerance is a constant, by definition equal to 65/63.”''<ref>[https://misotanni.github.io/fjs/en/rules.html The Complete Formal FJS Description]</ref>)		The Functional Just System can be seen as an extension of the Pythagorean system: the base name of a note (G, D, A♭, etc.) or interval (P5, M2, m6) is calculated by a fifth distance superscript or subscript numbers are added to mark the deviation from the pythagorean base. The chain of fifths used is controlled by a threshold value (or "radius of tolerance") that is λ = [[65/63]] by default (in ''“The radius of tolerance is a constant, by definition equal to 65/63.”''<ref>[https://misotanni.github.io/fjs/en/rules.html The Complete Formal FJS Description]</ref>)

	== Weblinks ==		== Weblinks ==

ArrowHead294 at 18:28, 11 February 2025

2025-02-11T18:28:10Z

← Older revision		Revision as of 18:28, 11 February 2025
Line 13:		Line 13:
	* [https://misotanni.github.io/fjs/en/calc.html Calculator]		* [https://misotanni.github.io/fjs/en/calc.html Calculator]
	* [https://www.yacavone.net/fjs-explorer/ Custom FJS Explorer]		* [https://www.yacavone.net/fjs-explorer/ Custom FJS Explorer]
	* [https://www.youtube.com/channel/UCrKUfsh5r1uMEx8EBevPflw misotanni [old] - YouTube] ~~–~~ (abandoned channel)		* [https://www.youtube.com/channel/UCrKUfsh5r1uMEx8EBevPflw misotanni [old] - YouTube] – (abandoned channel)

	== Quick reference ==		== Quick reference ==
	=== Formal commas ===		=== Formal commas ===
	{\| class="wikitable center-all"		{\| class="wikitable center-all"
	\|+ Formal commas below 32-limit		\|+ style="font-size: 105%;" \| Formal commas below 32-limit
			\|-
	! Prime		! Prime
	! Formal Comma		! Formal Comma
Line 52:		Line 53:
	=== Harmonic series ===		=== Harmonic series ===
	{\| class="wikitable center-all"		{\| class="wikitable center-all"
	\|+ Overtones ~~1–32~~ with root C		\|+ style="font-size: 105%;" \| Overtones 1–32 with root C
	! ~~1–8~~		\|-
			! 1–8
	\| C		\| C
	\| C		\| C
Line 63:		Line 65:
	\| C		\| C
	\|-		\|-
	! ~~9–16~~		! 9–16
	\| D		\| D
	\| E<sup>5</sup>		\| E<sup>5</sup>
Line 73:		Line 75:
	\| C		\| C
	\|-		\|-
	! ~~17–24~~		! 17–24
	\| D♭<sup>17</sup>		\| D♭<sup>17</sup>
	\| D		\| D
Line 83:		Line 85:
	\| G		\| G
	\|-		\|-
	! ~~25–32~~		! 25–32
	\| G♯<sup>25</sup>		\| G♯<sup>25</sup>
	\| A♭<sup>13</sup>		\| A♭<sup>13</sup>
Line 94:		Line 96:
	\|}		\|}

			{{Navbox notation}}
	{{~~Notation navbox~~}}

	[[Category:Notation]]		[[Category:Notation]]
	[[Category:Just intonation]]		[[Category:Just intonation]]

BudjarnLambeth: {{Notation navbox}}

2024-12-02T23:17:32Z

← Older revision		Revision as of 23:17, 2 December 2024
Line 93:		Line 93:
	\| C		\| C
	\|}		\|}


			{{Notation navbox}}

	[[Category:Notation]]		[[Category:Notation]]
	[[Category:Just intonation]]		[[Category:Just intonation]]

ArrowHead294 at 19:24, 20 May 2024

2024-05-20T19:24:50Z

← Older revision		Revision as of 19:24, 20 May 2024
Line 7:		Line 7:
	The '''Functional Just System''' ('''FJS''') is a logical notation system for the entirety of [[just intonation]] (JI) which claims to be both more coherent and more succinct than both [[Helmholtz–Ellis notation]] and [[Ben Johnston's notation]].		The '''Functional Just System''' ('''FJS''') is a logical notation system for the entirety of [[just intonation]] (JI) which claims to be both more coherent and more succinct than both [[Helmholtz–Ellis notation]] and [[Ben Johnston's notation]].

	The Functional Just System can be seen as an extension of the Pythagorean system: the base name of a note (G, D, Ab, etc.) or interval (P5, M2, m6) is calculated by a fifth distance superscript or subscript numbers are added to mark the deviation from the pythagorean base. The chain of fifths used is controlled by a threshold value (or "radius of tolerance") that is λ=65/63 by default (in ''“The radius of tolerance is a constant, by definition equal to 65/63.”''<ref>[https://misotanni.github.io/fjs/en/rules.html The Complete Formal FJS Description]</ref>)		The Functional Just System can be seen as an extension of the Pythagorean system: the base name of a note (G, D, A♭, etc.) or interval (P5, M2, m6) is calculated by a fifth distance superscript or subscript numbers are added to mark the deviation from the pythagorean base. The chain of fifths used is controlled by a threshold value (or "radius of tolerance") that is λ = 65/63 by default (in ''“The radius of tolerance is a constant, by definition equal to 65/63.”''<ref>[https://misotanni.github.io/fjs/en/rules.html The Complete Formal FJS Description]</ref>)

	== Weblinks ==		== Weblinks ==
Line 13:		Line 13:
	* [https://misotanni.github.io/fjs/en/calc.html Calculator]		* [https://misotanni.github.io/fjs/en/calc.html Calculator]
	* [https://www.yacavone.net/fjs-explorer/ Custom FJS Explorer]		* [https://www.yacavone.net/fjs-explorer/ Custom FJS Explorer]
	* [https://www.youtube.com/channel/UCrKUfsh5r1uMEx8EBevPflw misotanni [old] - YouTube] – (abandoned channel)		* [https://www.youtube.com/channel/UCrKUfsh5r1uMEx8EBevPflw misotanni [old] - YouTube] – (abandoned channel)

	== Quick reference ==		== Quick reference ==
Line 53:		Line 53:
	{\| class="wikitable center-all"		{\| class="wikitable center-all"
	\|+ Overtones 1–32 with root C		\|+ Overtones 1–32 with root C
	! ~~1–8~~		! 1–8
	\| C		\| C
	\| C		\| C
Line 60:		Line 60:
	\| E<sup>5</sup>		\| E<sup>5</sup>
	\| G		\| G
	\| Bb<sup>7</sup>		\| B♭<sup>7</sup>
	\| C		\| C
	\|-		\|-
	! ~~9–16~~		! 9–16
	\| D		\| D
	\| E<sup>5</sup>		\| E<sup>5</sup>
	\| F<sup>11</sup>		\| F<sup>11</sup>
	\| G		\| G
	\| Ab<sup>13</sup>		\| A♭<sup>13</sup>
	\| Bb<sup>7</sup>		\| B♭<sup>7</sup>
	\| B<sup>5</sup>		\| B<sup>5</sup>
	\| C		\| C
	\|-		\|-
	! ~~17–24~~		! 17–24
	\| Db<sup>17</sup>		\| D♭<sup>17</sup>
	\| D		\| D
	\| Eb<sup>19</sup>		\| E♭<sup>19</sup>
	\| E<sup>5</sup>		\| E<sup>5</sup>
	\| F<sup>7</sup>		\| F<sup>7</sup>
	\| F<sup>11</sup>		\| F<sup>11</sup>
	\| F#<sup>23</sup>		\| F♯<sup>23</sup>
	\| G		\| G
	\|-		\|-
	! ~~25–32~~		! 25–32
	\| G#<sup>25</sup>		\| G♯<sup>25</sup>
	\| Ab<sup>13</sup>		\| A♭<sup>13</sup>
	\| A		\| A
	\| Bb<sup>7</sup>		\| B♭<sup>7</sup>
	\| Bb<sup>29</sup>		\| B♭<sup>29</sup>
	\| B<sup>5</sup>		\| B<sup>5</sup>
	\| B<sup>31</sup>		\| B<sup>31</sup>

ArrowHead294 at 19:16, 20 May 2024

2024-05-20T19:16:18Z

← Older revision		Revision as of 19:16, 20 May 2024
Line 1:		Line 1:
	{{interwiki		{{interwiki
	\|de=FJS		\| de=FJS
	\|en=Functional Just System		\| en=Functional Just System
	\|es=		\| es=
	\|ja=		\| ja=
	}}		}}
	The '''Functional Just System''' ('''FJS''') is a logical notation system for the entirety of [[just intonation]] (JI) which claims to be both more coherent and more succinct than both [[~~Helmholtz-Ellis~~ notation]] and [[Ben Johnston's notation]].		The '''Functional Just System''' ('''FJS''') is a logical notation system for the entirety of [[just intonation]] (JI) which claims to be both more coherent and more succinct than both [[Helmholtz–Ellis notation]] and [[Ben Johnston's notation]].

	The Functional Just System can be seen as an extension of the Pythagorean system: the base name of a note (G, D, Ab, etc.) or interval (P5, M2, m6) is calculated by a fifth distance superscript or subscript numbers are added to mark the deviation from the pythagorean base. The chain of fifths used is controlled by a threshold value (or "radius of tolerance") that is λ=65/63 by default (in ''“The radius of tolerance is a constant, by definition equal to 65/63.”''<ref>[https://misotanni.github.io/fjs/en/rules.html The Complete Formal FJS Description]</ref>)		The Functional Just System can be seen as an extension of the Pythagorean system: the base name of a note (G, D, Ab, etc.) or interval (P5, M2, m6) is calculated by a fifth distance superscript or subscript numbers are added to mark the deviation from the pythagorean base. The chain of fifths used is controlled by a threshold value (or "radius of tolerance") that is λ=65/63 by default (in ''“The radius of tolerance is a constant, by definition equal to 65/63.”''<ref>[https://misotanni.github.io/fjs/en/rules.html The Complete Formal FJS Description]</ref>)
Line 18:		Line 18:
	=== Formal commas ===		=== Formal commas ===
	{\| class="wikitable center-all"		{\| class="wikitable center-all"
	\|+Formal commas below 32-limit		\|+ Formal commas below 32-limit
	! Prime		! Prime
	! Formal Comma		! Formal Comma
Line 52:		Line 52:
	=== Harmonic series ===		=== Harmonic series ===
	{\| class="wikitable center-all"		{\| class="wikitable center-all"
	\|+Overtones ~~1–32~~ with root C		\|+ Overtones 1–32 with root C
	! 1–8		! 1–8
	\| C		\| C