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Axis Dialog for General 2D and 3D GraphsExpand Axis Dialog for General 2D and 3D Graphs

8.5.2.1.2 The Scale Tab


This tab provides controls for axis scale, including the axis scale range, axis type, major and minor tick positions.etc. For 2D graphs, you can separately customize the Horizontal and Vertical; for 3D graphs, there are three axes (X, Y and Z) to be customized.
2D Axis Dialog 92.png

Starting with Origin 2017, you can use the Layer list to switch between layers in a multi-layer graph.

Switch layers control.png

From

Set the initial scale value in this text box.

To

Set the final scale value in this text box.

Type

This drop-down list will be grayed out if it is not supported for a specified plot type. In addition, some of the following options may not be available for some plot types.

Linear Standard linear scale: X'=X. Axis and tick types linear.gif
Log10 Base 10 logarithmic scale: X'=log(X). Axis and tick types log10.gif
Probability Represents the inverse of a cumulative Gaussian distribution: X'=norminv(X/100). Plotting a cumulative Gaussian distribution produces a sigmoidally-shaped curve. This curve, when displayed on a probability scale, appears as a straight line. Since probabilities are expressed as percentages, all values must fall between 0 and 100. The probability scale range is 0.0001 to 99.999.

Axis and tick types probability.gif

Probit Like the probability scale, a sigmoidally-shaped curve plots as a straight line. In this case, however, the scale is linear, and the increment between tick marks is exactly one standard deviation. The value "5" on the scale shows the mean, or 50% probability. "6" is one standard deviation away, etc.

Axis and tick types probit.gif

Reciprocal Reciprocal scale, where X'=1/X.Axis and tick types reciprocal.gif
Offset Reciprocal Offset reciprocal scale, where X'=1/(X+offset). Offset is defined as 273.14, where 273.14 is the absolute temperature for 0° C. Axis and tick types offset reciprocal.gif
Logit Logit=ln(Y/(100-Y)). As with the probability and probit scales, a sigmoidally shaped curve plots as a straight line.Axis and tick types logit.gif
ln Natural log scale (base e logarithmic scale). Axis and tick types ln.gif
log2 Base 2 logarithmic scale. Axis and tick types log2.gif
Double Log Reciprocal (Weibull) Double logarithmic reciprocal scale: X'=ln(-ln(1-X)). Axis and tick types double log reciprocal.gif
Custom Formula

User-defined axis space by Direct Formula and Inverse Formula

  • Direct Formula
Enter a formula to define a one-dimensional space transformation for the axis.
  • Inverse Formula
Enter a formula to define a one-dimensional inverse space transformation for the axis.
Note: This formula must be the exact inverse of Direct Formula. The From value of this axis cannot exceed the range of the Inverse Formula.


Two formulas are using x to represent the variable. For example:
Direct Formula: x*x-4
Inverse Formula: sqrt(x+4)
Axis and tick types Custom Formula.gif

Discrete Use the X values of the first plot in the current layer as tick labels. This scale type is linear except it takes X values as tick labels and eliminates the extra (like weekends and holidays in Financial Plots). If the Scale range(set by From and To controls) is larger than the actual X data range, the excess part will show as linear scale according to the Major and Minor Ticks settings.

Axis and tick types Discrete.gif

A Note on Log10 Scales:

If the log scale range is within one decade, the ticks and grids will be linear. The LabTalk system variable @TL determines whether to use linear tick marks by the following relation:

10 * log10(max/min) <= value

Thus, to support linear tick locations for two decades, set this variable to 14. For example, you could enter the following in the Script window:

@TL = 14 ;

The default value for @TL is 10.

Rescale

Fixed The axis is not scalable. If you try to change the scale or perform an operation which changes the scale (for example, using the Scale In Button Zoom In Tool.png tool), Origin preserves the From and To values. If both axes in a 2D graph layer are set to Fixed, using the Scale In Button Zoom In Tool.png tool opens a dialog box asking if you want to change to Normal mode and rescale. Click Yes to temporarily override the scaling restriction.
Normal The axis is scalable. Alter the axis scale and use the Scale In Button Zoom In Tool.png tool (for 2D graph layers) without restriction.

If you are adding or removing datasets from the graph using the Plot Setup or Layer Management dialogs, you will need to select the Rescale check box in those dialogs, if you want to automatically adjust scales on data change.

Auto This option is similar to the Normal option, but also allows Origin to automatically scale the axis to accommodate plotted data, if necessary.
Fixed From - Normal To The From value of the axis is fixed and can only be changed by editing the From text box value in the Axis dialog box, while the To value of the axis is in Normal mode.
Normal From - Fixed To The From value of axis is in Normal mode, while the To value of the axis is fixed and can only be changed by editing the To text box value in the Axis dialog box.
Fixed From - Auto To The From value of axis is fixed, while the To value of axis is allows Origin to automatically rescale.
Auto From - Fixed To The From value of axis is allows Origin to automatically rescale, while the To value of axis is fixed.

Rescale Margin(%)

Define a margin when re-scaling the graph axes. The margin is a percentage of the difference between the maximum and minimum data values in the n dimension. This control is also supported in polar axes (both angular and radial axis) and radar chart axes. It is not supported for graphs created from a matrix.

Reverse

Check this box to reverse the From and To scale values.

Major Ticks

Type

By Increment Set the major ticks of this axis by increment specified in the Value text box. Tick labels are placed at each major tick mark. For example, type 10 to display a major tick mark at every tenth value.
By Counts Set the total major tick number displayed on this axis by the absolute number specified in the Count text box.
By Custom Positions Set the location of the major ticks using an existing dataset or a series of space-separated numbers in the Position combo box.
By Plot Column Label Use values in a column label row to label major ticks. Set label row in the Column Label drop-down list. (See the fourth box chart in this list for an example.)

Value

This option is only available when By Increment is selected for Type. Set the major tick increment for this axis in the associated text box. If the scale units for this axis are time series values, then the value in the Increment text box must indicate the increment in appropriate time series terms. The permissible time series step increment units and their allowable abbreviations are:

Increment Abbreviation
sec s
min m
hour h
day d
week w
month mo
quarter q
year y

For time series graphs, set the size of the increment by typing a number followed by an increment unit. For example, 1month sets a major tick increment of one month. 4Q sets a major tick increment of four quarters. (Do not leave a space between the number and the increment unit.)

Count

This option is only available when By Counts is selected for Type. Specify the desired absolute number of total major ticks in the associated text box.

Notes:
  1. The maximum number of major ticks is controlled on the Axis tab of the Options dialog box (Tools: Options). You will not necessarily see this number of ticks used as Origin will still try to display reasonable numbers for Tick Labels.
  2. It is also allowed to use minus value for major tick numbers, so as to make the tick label numbers rounded-up. In case of negative major tick numbers, Origin will try to get the best range to make sure the tick labels are integers and the total tick number will try to be closest to the absolute value which was set, but not exactly the same.

Position

This option is only available when By Custom Positions is selected for Type. Select the dataset as the major tick locations in this drop-down list. Also you can enter the desired dataset name or a series of numbers separated by Space.

In the Position combo box, the most recently active worksheet columns are listed first. So, instead of scrolling down, close this dialog box, click on the desired book and sheet, then reopen this dialog box.

Column Label

This option is only available when By Plot Column Label is selected for Type. This combo box list Auto and the available column label rows (Long Name, Units, Comments etc.)

  • Auto: Determined by plot's own. It mainly means index.
    For Box/Waterfall plot, it means following the selection in the X position drop-down list of the Plot Details dialog.

First Tick

This option is available when By Increment or By Counts is selected for Type. Specify the position of the first major tick, and the increment for each minor tick, in the associated text box. This text box can be left blank for most graphs. However, when using calendar-accurate date values as tick labels, you may want to specify the value of the first major tick label to be displayed, and at what value subsequent minor ticks should fall.

For example, if your X axis range runs from 1/1/99 to 12/31/99, you could specify that the first major tick label fall at 1/4/99, and that all subsequent minor tick marks fall on a Monday.

To edit the First Tick text box:

  1. Type the desired major tick value.
  2. To specify both a major and minor tick value, include a comma after the major tick value, followed by the minor tick value.

When working with date values, Origin recognizes most common date notations. For example, to create an axis that starts at 1/4/99 and has minor tick marks at all Mondays, enter any of the following in the First Tick text box:

1/4/99, Monday
1-4-99, Mon
Jan 4 1999, M

Minor Ticks

Type

By Counts Set the number of minor ticks displayed between adjacent major ticks specified in the Count text box. For example, select By Increment for major tick Type, type 1 in the Value text box, and type 1 in the minor tick Count text box to set the tick sub-step to 0.5. One minor tick will display between each pair of major ticks.
By Custom Positions Set the location of the minor ticks using an existing dataset or a series of space-separated numbers in the Position combo box.

Count

This option is only available when By Counts is selected for Type. Specify the desired absolute number of minor ticks in the associated text box. If the scale units for this axis are time series values, then Origin uses the number to automatically determine the most appropriate minor tick labels.

Position

This option is only available when By Custom Positions is selected for Type. Select the dataset as the Minor tick locations in this drop-down list. Also you can enter the desired dataset name or a series of numbers separated by Space.

 

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