User:Peter/Incense

PLEASE NOTE THE MAJORITY OF THE THEORY AND INFORMATION BELOW IS FROM TALE SIX. AT THE BOTTOM OF THE PAGE ARE LINKS TO THE DATA AND FINDINGS FOR TALE EIGHT.

How it works

Incense has 4 properties that are affected by a random factor at the start, and by the additives included during the batch. These properties are:

• Scent. Scent is affected by the Herbs added to the batch.

Starting point scents, available without adding Herbs: Clove, Clover, Honey, OrientalSpices, Pine.
Scents that can be created when adding Herbs: Citrus, Flowers, Frankincense, Jasmine, Musk, Opium, Patchouli, Sandalwood.

• Feeling. The feeling is affected by the flower petals added to the batch.

Starting point feelings, available without adding flower petals: Gentle, Giddy, Guilty, Hopeful, Melancholious, Relaxed, Sorrowful, Vengeful.
Feelings seen after adding flower petals: Invigorating, Joyous, Mischievious, Serene, Suspicious, Troubled.

• Affected Stats. Every batch of Incense affects two different stats: one positively, one negatively. These are affected by the Resins added to the batch. The positive stat is obvious enough, but the negative stat may not be immediately recognizable if you're new to Incense. Here's how they map:

Description	Negative Stat
Clumsiness	Dexterity
Confusion	Perception
Forgetfulness	Focus
Fragility	Constitution
Lethargy	Endurance
Sluggishness	Speed
Weakness	Strength

• Quality. Quality affects the burn duration of an Incense, as well as the strength of its effect. It is determined by how close the hidden values of the incense line up with the ideals for the given properties. Don't worry if that doesn't make much sense; it will be explained in detail below.

Quality	Stat Change
0	0
1-499	1
500-749	2
750-873	3
875-926	4
948-959	5
968-983	6
984-1000	7

The properties can be determined at any point while the batch is being made by "Burning a little pinch of the mixture", and is also displayed to each character that comes under the influence of the Incense. It produces a message like this:

You catch a whiff of quality ((NUMBER)) ((SCENT)) scented incense.
You are filled with a ((FEELING)) ((POSITIVE STAT)), yet a bit of ((NEGATIVE STAT)).

The three planes

Note: The graphs and concepts that follow are abstract. While real values were used, these things
do NOT physically exist in-game. There's no place you can look to see where your Incense falls on
the chart. The only glimpse you have into the inner workings is when you burn a little pinch of the
mixture on the Scent Lab to see the batch's current properties.

The overall properties of a batch of Incense in process can be represented by a set of three separate and independent planes: the Stats/Resin Plane, the Scent/Herb Plane, and the Feeling/Petals Plane. Scattered about each of these planes is a set of points representing the final outcomes of the appropriate property. For example, the Stats/Resin Plane may look like this:

When a batch of Incense is started, one of a finite number (currently believed to be 12) of starting points is chosen on the grid, and the batch's current value for that property is determined as the final point to which the starting point is closest. For example, our starting point may be point "StartSC" here:

Since this point is closest to the Speed and Confusion point, those are the stats our Incense would start out with.

Changing the properties with additives

So what if we want something other than Speed and Confusion? That's where our additives come in. Each additive also exists as a point on the plane, and adding that additive will move the working point a bit in its direction. Let's say we want to make Incense that increases Focus. We may look at the additive chart and notice that Folded Birch resin is in an advantageous position:

From here, it's as simple as adding Folded Birch resin repeatedly, moving the working point further in its direction, until it is closer to the Focus and Sluggishness point, at which point we'll see the stats change (if we burn a little pinch of the mixture).

I used the Stats/Resin Plane for the above example, but the other two planes work in exactly the same manner.

What about Quality?

We've dealt with three of the four properties up to this point, but the fourth is perhaps the most important: Quality. There is no plane for quality; rather it is calculated from the working points in the three planes. Simply speaking, the closer you get each of your working points to their final property point (e.g. the "FocSluggish" point in the above example), the higher the quality will be.

The math

The above gives a general clue on how to nudge things in the right direction, but if you want to be more exact, here's how it works:

The working point on each graph is a weighted average of the starting point and all the additives of the appropriate type, where the starting point is given a weight of 7. That is to say, it is treated as if 7 debens of an additive were dropped right at the starting point.

Example: Let's say our starting point was at (-10, 15). We added 5 debens of Resin 1, whose
 coords are (6, 6), and 20 debens of Resin 2, whose coords are (-1, -5). Our results would 
be calculated like this:

    7*(-10) + 5*6 + 20*(-1)
X = ----------------------- = -1.9
           7 + 5 + 20        

    7*15 + 5*6 + 20*(-5)
Y = -------------------- = 1.1
         7 + 5 + 20

So our working point would be roughly (-2, 1).

Quality is simply an ideal value (1000) reduced by the distance between the working point on each plane and its closest final property point.

Data

All of the data above was from T6.

T8 Data

• Incense Starts
• Incense Recipes
• Incense Testing