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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)-591

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
Tangy 497 311 612 621
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

Range for Tangelo ideal values:

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

Yuzu

Label Color Sweet Size Length
Large 486 182 612 441
Long 287 182 408 441

Range for Yuzu ideal values:

  • Color (Greenish)-(Reddish)
  • Sweet (Tangy)-(Sweet)
  • Size (Small)-612
  • Length (Flat)-441
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