Citrus Tree Data

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In the interest of gathering data for each citrus type, please add to the charts below as you grow trees of each type. Tale Seven, Lilyoptra managed to determine the "ideal values" for each citrus type. This ideal leads to each citrus type (numbers closest to the ideal values for that fruit) and citrus adjectives (the value of those four which is farthest from the ideal for that fruit). For more detailed information on her work, please refer to: https://www.atitd.org/wiki/tale7/Citrus_Tree_Data . I am going with her theory that "A tree is determined by taking the sum of the squares of the differences between the tree's attributes and each fruit's ideal attributes".

In language that I can understand a little easier:
One tree's actual values are put through this formula, comparing it to each tree type's ideal values. The result that gives the lowest number determines which tree species you've got.

(The difference between the actual color and the ideal color) squared
plus
(The difference between the actual sweetness and the ideal sweetness) squared
plus
(The difference between the actual size and the ideal size) squared
plus
(The difference between the actual length and the ideal length) squared

Of those four differences, the one which is farthest from ideal determines the fruit's adjective.

Buddha's Hand

Label	Color	Sweet	Size	Length
Greenish	486	728	612	533
Greenish	325	650	642	621
Greenish	486	650	642	533
Greenish	515	650	642	533
Long	624	650	642	587
Long	676	650	642	587
Reddish	676	650	705	480
Reddish	676	650	705	534
Reddish	687	650	754	533
Reddish	718	712	811	533
Reddish	718	696	692	533
Reddish	730	650	642	587
Reddish	740	650	642	587
Small	676	650	642	533
Small	701	650	642	441
Small	710	650	642	437
Small	730	782	612	533
Tangy	676	509	642	533
Tangy	678	509	642	533
Tangy	676	457	679	533
Long	754	650	733	621
Long	760	735	900	716
Large	775	843	1000	686
Long	832	853	900	714

Attempting to come to some conclusions about ideal values for Buddha's Hand. (Pardon me while I think out loud and ramble a bit!) It is one of the starter fruits, so we have more data to look at. There are two sets of "Small" fruits which help a lot. I checked with the grower, and yes, the numbers are accurate.

Small: 710 color, 650 sweet, 642 size, 437 length <-- 642 size is very common so far, but this fruit is one where 642 size is the farthest from ideal, making the other three values closer to ideal.
Small: 730 color, 782 sweet, 612 size, 533 length <-- This fruit has the highest sweetness we've seen, and very high color, but "small" is still the value farthest from its ideal

Range for Buddha's Hand ideal values:

Color 515-676
Sweet 509-(sweet)
Size 642-1000
Length (flat)-587

Citron

Label	Color	Sweet	Size	Length
Large	325	320	594	621
Large	486	107	612	704
Large	388	311	642	621
Long	325	182	408	621
Long	325	311	408	621
Long	486	182	408	522
Reddish	542	120	408	441
Tangy	486	120	408	441
Long	325	311	405	621
Long	325	320	408	621
Long	325	246	408	621
Large	325	320	408	507
Long	308	320	408	621
Long	279	246	408	621
Long	325	211	408	621
Long	279	246	408	599
Long	279	175	408	621
Long	279	226	408	621

Range for Citron ideal values:

Color (Greenish)-542
Sweet 120-(Sweet)
Size (Small)-594
Length (Flat)-522

Coralfruit

Label	Color	Sweet	Size	Length
Example	color	sweet	size	length

Range for Coralfruit ideal values:

Color (Greenish)-(Reddish)
Sweet (Tangy)-(Sweet)
Size (Small)-(Large)
Length (Flat)-(Long)

Corian

Label	Color	Sweet	Size	Length
Example	color	sweet	size	length

Range for Corian ideal values:

Color (Greenish)-(Reddish)
Sweet (Tangy)-(Sweet)
Size (Small)-(Large)
Length (Flat)-(Long)

Etrog

Label	Color	Sweet	Size	Length
Large	279	650	483	756
Tangy	279	246	394	768
Large	279	249	494	768

Range for Etrog ideal values:

Color (Greenish)-(Reddish)
Sweet 246-(Sweet)
Size (Small)-483
Length (Flat)-(Long)

Grapefruit

Label	Color	Sweet	Size	Length
Greenish	676	171	612	507
Greenish	759	311	642	533
Long	760	107	612	704
Greenish	676	311	642	450
Greenish	687	311	612	507
Greenish	687	320	710	507
Greenish	687	320	756	568
Greenish	695	311	612	507
Greenish	730	320	756	568

Range for Grapefruit ideal values:

Color 759-(Reddish)
Sweet (Tangy)-(Sweet)
Size (Small)-(Large)
Length (Flat)-704

Iyokan

Label	Color	Sweet	Size	Length
Example	color	sweet	size	length

Range for Iyokan ideal values:

Color (Greenish)-(Reddish)
Sweet (Tangy)-(Sweet)
Size (Small)-(Large)
Length (Flat)-(Long)

Kabosu

Label	Color	Sweet	Size	Length
Long	832	853	900	591

Range for Kabosu ideal values:

Color (Greenish)-(Reddish)
Sweet (Tangy)-(Sweet)
Size (Small)-(Large)
Length (Flat)-(Long)

Kumquat

Label	Color	Sweet	Size	Length
Small	515	320	642	533
Long	383	331	751	704
Reddish	635	331	751	533
Small	486	311	642	533
Tangy	399	311	751	533
Small	325	320	642	621
Small	515	320	642	533
Long	383	311	865	621

Range for Kumquat ideal values:

Color (Greenish)-635
Sweet 311-(Sweet)
Size 642-(Large)
Length (Flat)-621

Lemon

Label	Color	Sweet	Size	Length
Flat	699	650	642	621
Flat	676	650	642	621
Flat	676	650	612	621
Flat	515	457	623	617
Greenish	279	509	612	756
Greenish	325	650	642	737
Small	701	396	394	756
Sweet	701	650	565	704
Tangy	486	311	612	698
Tangy	486	320	594	720
Tangy	486	311	642	704
Tangy	621	311	705	621
Tangy	668	182	612	704
Tangy	676	320	612	622
Tangy	676	311	612	627
Tangy	676	311	642	756
Tangy	687	320	612	568
Tangy	687	320	756	632
Tangy	699	311	642	621
Tangy	699	311	612	621
Reddish	754	650	642	746
Tangy	699	522	612	746
Tangy	754	311	642	621
Sweet	699	650	612	746
Tangy	754	311	612	621
Large	754	650	792	746
Large	754	650	757	746
Large	754	650	753	746
Reddish	754	650	642	855
Flat	719	650	642	642
Flat	754	647	642	621
Large	754	650	792	855
Large	754	650	721	746
Long	754	650	642	926
Large	754	735	792	746
Sweet	754	745	792	855
Sweet	754	745	792	746
Reddish	754	650	642	804
Large	754	668	792	855
Large	754	735	792	855
Sweet	754	735	754	855
Large	754	655	792	746
Sweet	686	745	792	822
Sweet	754	745	754	822
Sweet	754	766	792	822
Large	706	735	900	822
Large	754	798	900	822
Large	754	695	792	822
Large	754	735	792	822
Large	767	798	900	822
Large	760	798	900	822
Large	754	843	949	822
Large	693	798	988	822
Large	767	843	934	822
Large	767	808	900	822
Large	758	808	900	822
Large	775	808	900	822

Range for Lemon Ideal Values

Color: 325-754
Sweet: 522-650
Size: 394-721
Length: 642-926

Lenat

Label	Color	Sweet	Size	Length
Long	676	320	612	507
Long	676	407	542	507
Long	653	311	612	507
Long	676	311	642	441
Long	572	457	623	475

Range for Lenat ideal values:

Color (Greenish)-(Reddish)
Sweet (Tangy)-(Sweet)
Size (Small)-(Large)
Length (Flat)-441

Lime

Label	Color	Sweet	Size	Length
Large	325	650	394	533

Range for Lime ideal values:

Color (Greenish)-(Reddish)
Sweet (Tangy)-(Sweet)
Size (Small)-394
Length (Flat)-(Long)

Mandarin

Label	Color	Sweet	Size	Length
Example	color	sweet	size	length

Range for Mandarin ideal values:

Color (Greenish)-(Reddish)
Sweet (Tangy)-(Sweet)
Size (Small)-(Large)
Length (Flat)-(Long)

Orange

Label	Color	Sweet	Size	Length
Large	486	514	408	756

Range for Orange ideal values:

Color (Greenish)-(Reddish)
Sweet (Tangy)-(Sweet)
Size (Small)-408
Length (Flat)-(Long)

Oroblanco

Label	Color	Sweet	Size	Length
Tangy	676	182	757	841
Tangy	730	320	756	721
Flat	696	320	756	632
Flat	774	320	756	632
Flat	687	320	772	632
Greenish	754	503	792	746
Greenish	754	409	754	746
Greenish	754	503	792	814
Greenish	754	503	792	822
Large	754	503	900	855
Sweet	754	735	900	855
Greenish	716	503	900	855
Sweet	760	735	900	822
Sweet	754	735	900	822
Sweet	784	798	900	822
Sweet	760	798	988	822
Sweet	767	798	988	822
Sweet	769	798	988	822
Sweet	767	798	988	873
Sweet	769	783	900	822
Sweet	775	843	1000	822
Sweet	767	843	1000	822
Sweet	767	843	1000	863
Sweet	832	843	900	822
Sweet	832	808	900	972
Sweet	832	843	900	942
Sweet	832	853	900	822
Sweet	832	708	900	822
Sweet	767	766	900	822
Sweet	832	853	907	822
Sweet	820	843	900	822
Sweet	832	853	907	822
Sweet	832	853	913	822
Sweet	832	776	900	822

Should be able to do some narrowing down on the value for Color.

Label	Color	Sweet	Size	Length
Greenish	754	409	754	746
Greenish	754	503	792	746

Looking at the sweetness values of 409 and 503, one possible ideal value for sweetness is 456. It is the closest number to both those values, at 47 points higher than 409, and 47 points lower than 503. But for both fruits, they are labelled Greenish, not Sweet or Tangy. Therefore, 754 must be more than 47 points below the ideal color for Oroblanco, making the ideal color at least 801.

The upper limit for Sweetness can also be dropped down a little bit:

Label	Color	Sweet	Size	Length
Sweet	754	735	900	855
Sweet	754	735	900	822

Looking at those two fruits, they are identical, except for their lengths of 855 and 822. The length of 838.5 is the closest to both numbers, at a difference of 16.5 from each. This means that the sweet value of 735 must be at least 16 points higher than the ideal, so the ideal value is at most 719.

Range for Oroblanco ideal values:

Color 801-(Reddish)
Sweet 320-719
Size (Small)-900
Length 632-(Long)

Pummelo

Label	Color	Sweet	Size	Length
Example	color	sweet	size	length

Range for Pummelo ideal values:

Color (Greenish)-(Reddish)
Sweet (Tangy)-(Sweet)
Size (Small)-(Large)
Length (Flat)-(Long)

Rangpur

Label	Color	Sweet	Size	Length
Large	754	843	900	822
Large	754	843	900	822
Large	767	843	900	822
Large	716	843	900	822
Large	775	843	847	822
Large	767	928	900	822
Large	767	853	900	822
Large	780	853	907	822

Range for Rangpur ideal values:

Color (Greenish)-(Reddish)
- We have the color values of 716, 754 and 767. There are three possibilities.
  - 1) the ideal color is 716 or lower. This means that 767 is at least 51 points too high, and the fruit is still not reddish, because the size of 900 is more than 51 points too high.
  - 2) the ideal color is 767 or higher. This means that 716 is at least 51 points too low, and the fruit is still not greenish, because the size is more than 51 points too high.
  - 3) the ideal color is between 716 and 767. This would make 716 greenish and 767 reddish, except the fruit is labelled large because 900 is more than 25 points higher than its ideal size.
    No matter which of these three possibilities is true, the ideal size of Rangphur must be less than 875.
Sweet (Tangy)-(Sweet)
- 843 is closer to ideal sweetness than 900 is to ideal size
Size (Small)-875
- Regardless of the accuracy of the assumptions on ideal color, we know that 900 is at least 25 points too high, making the ideal size 875 or less.
Length (Flat)-(Long)
- 822 is closer to ideal length than 900 is to ideal size

And then the next growth cycle produces a Large Rangpur with a size of 847....(its good mental exercise, right?)

Range for Rangpur Ideal Values:

Color (Greenish)-(Reddish)
Sweet (Tangy)-(Sweet)
Size (Small)-847
Length (Flat)-(Long)

Shangjuan

Label	Color	Sweet	Size	Length
Example	color	sweet	size	length

Range for Shangjuan ideal values:

Color (Greenish)-(Reddish)
Sweet (Tangy)-(Sweet)
Size (Small)-(Large)
Length (Flat)-(Long)

Sudachi

Label	Color	Sweet	Size	Length
Large	399	331	394	533
Large	486	292	594	621
Large	616	311	542	507
Large	687	311	542	507
Large	695	311	542	507
Long	515	311	408	621
Reddish	676	311	474	627
Reddish	763	320	408	621
Large	466	311	612	533
Long	486	311	408	621
Reddish	730	182	495	587
Large	515	320	546	533

Range for Sudachi ideal values:

Color (Greenish)-676
Sweet (Tangy)-(Sweet)
Size (Small)-394-542
Length (Flat)-621

Summerbell

Label	Color	Sweet	Size	Length
Large	440	182	483	756
Large	486	35	408	841
Reddish	701	182	394	841
Large	325	246	408	768
Large	325	246	394	768

Range for Summerbell ideal values:

Color (Greenish)-701
Sweet (Tangy)-(Sweet)
Size (Small)-408
Length (Flat)-(Long)

Tangelo

Label	Color	Sweet	Size	Length
Reddish	486	182	698	704
Small	279	182	698	756

Range for Tangelo ideal values:

Color (Greenish)-486
Sweet (Tangy)-(Sweet)
Size 698-(Large)
Length (Flat)-(Long)

Tangerine

Label	Color	Sweet	Size	Length
Example	color	sweet	size	length